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137959056 = 2432958049
BaseRepresentation
bin10000011100100…
…01011010010000
3100121121001020200
420032101122100
5240304142211
621404535200
73263426664
oct1016213220
9317531220
10137959056
1170968754
123a251500
13227743a1
14144728a4
15c1a1b56
hex8391690

137959056 has 30 divisors (see below), whose sum is σ = 386094150. Its totient is φ = 45986304.

The previous prime is 137959039. The next prime is 137959079. The reversal of 137959056 is 650959731.

137959056 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 590 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 134931456 + 3027600 = 11616^2 + 1740^2 .

It is a super-2 number, since 2×1379590562 = 38065402264822272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 478881 + ... + 479168.

It is an arithmetic number, because the mean of its divisors is an integer number (12869805).

Almost surely, 2137959056 is an apocalyptic number.

137959056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137959056 is an abundant number, since it is smaller than the sum of its proper divisors (248135094).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137959056 is a wasteful number, since it uses less digits than its factorization.

137959056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958063 (or 958054 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 137959056 is about 11745.5973028195. The cubic root of 137959056 is about 516.7138128789.

The spelling of 137959056 in words is "one hundred thirty-seven million, nine hundred fifty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 958049 1916098 2874147 3832196 5748294 7664392 8622441 11496588 15328784 17244882 22993176 34489764 45986352 68979528 137959056