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145 (number)

From Wikipedia, the free encyclopedia
← 144 145 146 →
Cardinalone hundred forty-five
Ordinal145th
(one hundred forty-fifth)
Factorization5 × 29
Divisors1, 5, 29, 145
Greek numeralΡΜΕ´
Roman numeralCXLV
Binary100100012
Ternary121013
Senary4016
Octal2218
Duodecimal10112
Hexadecimal9116

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

In mathematics

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  • 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

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In sports

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In transportation

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In other fields

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145 is also:

See also

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References

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  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. ^ a b "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. ^ "Ferry Schedules & Maps - Ferry | Golden Gate".
  8. ^ "Route 145". London Bus Routes.
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