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137600837 = 11210910433
BaseRepresentation
bin10000011001110…
…01111101000101
3100120220211212022
420030321331011
5240211211322
621353132525
73260405423
oct1014717505
9316824768
10137600837
1170743600
123a0ba145
132267a31a
14143bc113
15c130942
hex8339f45

137600837 has 12 divisors (see below), whose sum is σ = 152649420. Its totient is φ = 123932160.

The previous prime is 137600821. The next prime is 137600863. The reversal of 137600837 is 738006731.

137600837 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 92428996 + 45171841 = 9614^2 + 6721^2 .

It is not a de Polignac number, because 137600837 - 24 = 137600821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137600797 and 137600806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137600887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7973 + ... + 18405.

It is an arithmetic number, because the mean of its divisors is an integer number (12720785).

Almost surely, 2137600837 is an apocalyptic number.

It is an amenable number.

137600837 is a deficient number, since it is larger than the sum of its proper divisors (15048583).

137600837 is a wasteful number, since it uses less digits than its factorization.

137600837 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10564 (or 10553 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 137600837 is about 11730.3383156668. The cubic root of 137600837 is about 516.2661990551.

The spelling of 137600837 in words is "one hundred thirty-seven million, six hundred thousand, eight hundred thirty-seven".

Divisors: 1 11 109 121 1199 10433 13189 114763 1137197 1262393 12509167 137600837