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137592138 = 23671033323
BaseRepresentation
bin10000011001101…
…11110101001010
3100120220101221010
420030313311022
5240210422023
621353024350
73260341155
oct1014676512
9316811833
10137592138
1170738012
123a0b50b6
1322676388
14143b8c9c
15c12d093
hex8337d4a

137592138 has 32 divisors (see below), whose sum is σ = 282087936. Its totient is φ = 44727408.

The previous prime is 137592137. The next prime is 137592139. The reversal of 137592138 is 831295731.

137592138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137592137) and next prime (137592139).

It is a super-2 number, since 2×1375921382 = 37863192878822088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137592096 and 137592105.

It is not an unprimeable number, because it can be changed into a prime (137592137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39745 + ... + 43067.

It is an arithmetic number, because the mean of its divisors is an integer number (8815248).

Almost surely, 2137592138 is an apocalyptic number.

137592138 is an abundant number, since it is smaller than the sum of its proper divisors (144495798).

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

137592138 is a wasteful number, since it uses less digits than its factorization.

137592138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3498.

The product of its digits is 45360, while the sum is 39.

The square root of 137592138 is about 11729.9675191366. The cubic root of 137592138 is about 516.2553195324.

The spelling of 137592138 in words is "one hundred thirty-seven million, five hundred ninety-two thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 67 103 134 201 206 309 402 618 3323 6646 6901 9969 13802 19938 20703 41406 222641 342269 445282 667923 684538 1026807 1335846 2053614 22932023 45864046 68796069 137592138