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137813375 = 537239659
BaseRepresentation
bin10000011011011…
…01110101111111
3100121022122102002
420031231311333
5240240012000
621401452515
73262252160
oct1015556577
9317278362
10137813375
1170879257
123a1a113b
1322722c9b
1414435767
15c1738d5
hex836dd7f

137813375 has 32 divisors (see below), whose sum is σ = 197683200. Its totient is φ = 93962400.

The previous prime is 137813329. The next prime is 137813381. The reversal of 137813375 is 573318731.

It is not a de Polignac number, because 137813375 - 210 = 137812351 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208796 + ... + 209454.

It is an arithmetic number, because the mean of its divisors is an integer number (6177600).

Almost surely, 2137813375 is an apocalyptic number.

137813375 is a deficient number, since it is larger than the sum of its proper divisors (59869825).

137813375 is an equidigital number, since it uses as much as digits as its factorization.

137813375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 910 counting only the distinct ones).

The product of its digits is 52920, while the sum is 38.

The square root of 137813375 is about 11739.3941496144. The cubic root of 137813375 is about 516.5318702578.

The spelling of 137813375 in words is "one hundred thirty-seven million, eight hundred thirteen thousand, three hundred seventy-five".

Divisors: 1 5 7 25 35 125 175 239 659 875 1195 1673 3295 4613 5975 8365 16475 23065 29875 41825 82375 115325 157501 209125 576625 787505 1102507 3937525 5512535 19687625 27562675 137813375