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137897631 = 3237414107
BaseRepresentation
bin10000011100000…
…10011010011111
3100121110220222200
420032002122133
5240300211011
621403342543
73263052624
oct1016023237
9317426880
10137897631
1170926593
123a221a53
1322752441
141445834b
15c18d856
hex838269f

137897631 has 12 divisors (see below), whose sum is σ = 204569352. Its totient is φ = 89446896.

The previous prime is 137897621. The next prime is 137897633. The reversal of 137897631 is 136798731.

137897631 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 9 + 7 + 631 = 666.

It is not a de Polignac number, because 137897631 - 210 = 137896607 is a prime.

It is a super-2 number, since 2×1378976312 = 38031513270824322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137897633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206721 + ... + 207386.

It is an arithmetic number, because the mean of its divisors is an integer number (17047446).

Almost surely, 2137897631 is an apocalyptic number.

137897631 is a deficient number, since it is larger than the sum of its proper divisors (66671721).

137897631 is a wasteful number, since it uses less digits than its factorization.

137897631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414150 (or 414147 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 137897631 is about 11742.9822021495. The cubic root of 137897631 is about 516.6371141381.

The spelling of 137897631 in words is "one hundred thirty-seven million, eight hundred ninety-seven thousand, six hundred thirty-one".

Divisors: 1 3 9 37 111 333 414107 1242321 3726963 15321959 45965877 137897631