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137158728 = 23377271123
BaseRepresentation
bin10000010110011…
…10000001001000
3100120002101101220
420023032001020
5240103034403
621335442040
73253554450
oct1013160110
9316071356
10137158728
1170471423
1239b26320
1322554015
1414304d60
15c094953
hex82ce048

137158728 has 64 divisors (see below), whose sum is σ = 392770560. Its totient is φ = 39099456.

The previous prime is 137158709. The next prime is 137158789. The reversal of 137158728 is 827851731.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 137158728.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121575 + ... + 122697.

It is an arithmetic number, because the mean of its divisors is an integer number (6137040).

Almost surely, 2137158728 is an apocalyptic number.

It is an amenable number.

137158728 is an abundant number, since it is smaller than the sum of its proper divisors (255611832).

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

137158728 is a wasteful number, since it uses less digits than its factorization.

137158728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1862 counting only the distinct ones).

The product of its digits is 94080, while the sum is 42.

The square root of 137158728 is about 11711.4784719949. The cubic root of 137158728 is about 515.7126878380.

The spelling of 137158728 in words is "one hundred thirty-seven million, one hundred fifty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 727 1123 1454 2181 2246 2908 3369 4362 4492 5089 5816 6738 7861 8724 8984 10178 13476 15267 15722 17448 20356 23583 26952 30534 31444 40712 47166 61068 62888 94332 122136 188664 816421 1632842 2449263 3265684 4898526 5714947 6531368 9797052 11429894 17144841 19594104 22859788 34289682 45719576 68579364 137158728