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137911632 = 2434576287
BaseRepresentation
bin10000011100001…
…01110101010000
3100121111122012020
420032011311100
5240301133012
621403531440
73263141505
oct1016056520
9317448166
10137911632
1170936061
123a229b80
1322758921
141445d4ac
15c192a8c
hex8385d50

137911632 has 40 divisors (see below), whose sum is σ = 357108096. Its totient is φ = 45862656.

The previous prime is 137911619. The next prime is 137911637. The reversal of 137911632 is 236119731.

It is a junction number, because it is equal to n+sod(n) for n = 137911593 and 137911602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137911637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18793 + ... + 25079.

Almost surely, 2137911632 is an apocalyptic number.

137911632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137911632 is an abundant number, since it is smaller than the sum of its proper divisors (219196464).

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

137911632 is a wasteful number, since it uses less digits than its factorization.

137911632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6755 (or 6749 counting only the distinct ones).

The product of its digits is 6804, while the sum is 33.

The square root of 137911632 is about 11743.5783303046. The cubic root of 137911632 is about 516.6545985850.

The spelling of 137911632 in words is "one hundred thirty-seven million, nine hundred eleven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 457 914 1371 1828 2742 3656 5484 6287 7312 10968 12574 18861 21936 25148 37722 50296 75444 100592 150888 301776 2873159 5746318 8619477 11492636 17238954 22985272 34477908 45970544 68955816 137911632