145_(number)

145 (number)

145 (number)

Natural number


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

Quick Facts ← 144 145 146 →, Cardinal ...

In mathematics

  • Although composite, 145 is a Fermat pseudoprime in sixteen bases with b < 145. In four of those bases, it is a strong pseudoprime: 1, 12, 17, and 144.
  • the Mertens function returns 0.[1]
  • 145 is a pentagonal number[2] and a centered square number.[3]
  • . 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.
  • , making it a factorion.[4] The only other numbers that have this property are 1, 2 and 40585.[4]
  • , making 145 the smallest number that can be written as the sum of a square number and a factorial in 3 ways. The next number with this property is 46249.[5]

In the military

In sports

In transportation

In other fields

145 is also:

See also


References

  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.
  5. "A359013 - OEIS". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-12-11.
  6. "1938 Delahaye 145 le mans Slot Car 1/32". www.tertrerouge-racingcars.com. Archived from the original on 16 September 2008. Retrieved 14 January 2022.
  7. "Route 145". London Bus Routes.

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