145 (number)

145 (one hundred [and] forty-five) is the natural number following 144 and preceding 146.

← 144 145 146 →
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Cardinal	one hundred forty-five
Ordinal	145th (one hundred forty-fifth)
Factorization	5 × 29
Divisors	1, 5, 29, 145
Greek numeral	ΡΜΕ´
Roman numeral	CXLV
Binary	100100012
Ternary	121013
Quaternary	21014
Quinary	10405
Senary	4016
Octal	2218
Duodecimal	10112
Hexadecimal	9116
Vigesimal	7520
Base 36	4136

In mathematics

• Although composite, 145 is a Fermat pseudoprime to sixteen bases with b < 145. In four of those bases, it is a strong pseudoprime: 1, 12, 17, and 144.
• Given 145, the Mertens function returns 0.[1]
• 145 is a pentagonal number[2] and a centered square number.[3]
• ${\displaystyle 145=12^{2}+1^{2}=8^{2}+9^{2}}$. 145 is the fourth number that is the sum of two different pairs of squares. Also, 145 is the result of 3⁴ + 4³, making it a Leyland number.
• ${\displaystyle 145=1!+4!+5!}$, making it a factorion.[4] The only other numbers that have the property that they are the sum of the factorials of their digits are 1, 2 and 40585.[4]

In the military

• USS Armada (AM-145) was a United States Navy Admirable-class minesweeper during World War II
• USS Colbert (APA-145) was a United States Navy Haskell-class attack transport during World War II
• USS General Harry Taylor (AP-145) was a United States Navy General G. O. Squier-class transport ship during World War II
• USS Greer (DD-145) was a United States Navy Wickes-class destroyer during World War II
• USS Huse (DE-145) was a United States Navy Edsall-class destroyer escort during World War II
• USS Roanoke (CL-145) was a United States Navy cruiser following World War II

In sports

• The Grand Union Canal Race is a 145-mile ultramarathon from Birmingham to London along the Grand Union Canal

In transportation

• Eurocopter EC 145 is a twin-engine light utility helicopter
• The Delahaye 145 Sports Car from 1938
• The Alfa Romeo 145 car produced between 1994 and 2001
• Volvo 145 Express station wagon
• ERJ 145 regional jets produced by Embraer
• Golden Gate Transit Bus Route 145
• London Bus Route 145

In other fields

145 is also:

• The year AD 145 or 145 BC
• 145 AH is a year in the Islamic calendar that corresponds to 762 – 763 CE
• 145 Adeona is a large Main belt asteroid
• Psalm 145
• Sonnet 145
• Apple Computer laptops, such as the PowerBook 145 and PowerBook 145B
• Puff Daddy song “Picture it” includes the lyrics “in something foreign soarin’ 145”
• Tsuu T'ina Nation 145 Indian reserve in Alberta, Canada
• 145 mg medicine tablets, as with Tricor
• "One Four Five" is a song by The Cat Empire

See also

• List of highways numbered 145
• United Nations Security Council Resolution 145
• United States Supreme Court cases, Volume 145

References

• Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 140

1. "Sloane's A028442 : Numbers n such that Mertens' function is zero". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
2. "Sloane's A000326 : Pentagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
3. "Sloane's A001844 : Centered square numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
4. "Sloane's A014080 : Factorions". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.

External links

• The Natural Number 145
• Parker, Matt. "145 and the Melancoil". Numberphile. Brady Haran. Archived from the original on 2013-05-14. Retrieved 2013-04-06.