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137875959 = 3313392809
BaseRepresentation
bin10000011011111…
…01000111110111
3100121102211021000
420031331013313
5240244012314
621403054343
73262632504
oct1015750767
9317384230
10137875959
1170911281
123a2113b3
1322745610
14144504ab
15c187209
hex837d1f7

137875959 has 16 divisors (see below), whose sum is σ = 219973600. Its totient is φ = 84846528.

The previous prime is 137875937. The next prime is 137875981. The reversal of 137875959 is 959578731.

It is an interprime number because it is at equal distance from previous prime (137875937) and next prime (137875981).

It is a de Polignac number, because none of the positive numbers 2k-137875959 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137875999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196054 + ... + 196755.

It is an arithmetic number, because the mean of its divisors is an integer number (13748350).

Almost surely, 2137875959 is an apocalyptic number.

137875959 is a deficient number, since it is larger than the sum of its proper divisors (82097641).

137875959 is a wasteful number, since it uses less digits than its factorization.

137875959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392831 (or 392825 counting only the distinct ones).

The product of its digits is 2381400, while the sum is 54.

The square root of 137875959 is about 11742.0594019959. The cubic root of 137875959 is about 516.6100478135.

It can be divided in two parts, 137 and 875959, that added together give a square (876096 = 9362).

The spelling of 137875959 in words is "one hundred thirty-seven million, eight hundred seventy-five thousand, nine hundred fifty-nine".

Divisors: 1 3 9 13 27 39 117 351 392809 1178427 3535281 5106517 10605843 15319551 45958653 137875959