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137395259328 = 2632572839839
BaseRepresentation
bin111111111110101100…
…1010100011111000000
3111010122022102100021110
41333331121110133000
54222341141244303
6143041333123320
712632532302115
oct1777531243700
9433568370243
10137395259328
11532a60509a8
1222765489540
13cc5804c322
14691571490c
153892206703
hex1ffd6547c0

137395259328 has 112 divisors (see below), whose sum is σ = 366266211840. Its totient is φ = 45454393344.

The previous prime is 137395259293. The next prime is 137395259329. The reversal of 137395259328 is 823952593731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137395259329) 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, 13959433 + ... + 13969271.

Almost surely, 2137395259328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137395259328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183133105920).

137395259328 is an abundant number, since it is smaller than the sum of its proper divisors (228870952512).

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

137395259328 is a wasteful number, since it uses less digits than its factorization.

137395259328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10394 (or 10384 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 57.

The spelling of 137395259328 in words is "one hundred thirty-seven billion, three hundred ninety-five million, two hundred fifty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 257 283 514 566 771 849 1028 1132 1542 1698 2056 2264 3084 3396 4112 4528 6168 6792 8224 9056 9839 12336 13584 16448 18112 19678 24672 27168 29517 39356 49344 54336 59034 72731 78712 118068 145462 157424 218193 236136 290924 314848 436386 472272 581848 629696 872772 944544 1163696 1745544 1889088 2327392 2528623 2784437 3491088 4654784 5057246 5568874 6982176 7585869 8353311 10114492 11137748 13964352 15171738 16706622 20228984 22275496 30343476 33413244 40457968 44550992 60686952 66826488 80915936 89101984 121373904 133652976 161831872 178203968 242747808 267305952 485495616 534611904 715600309 1431200618 2146800927 2862401236 4293601854 5724802472 8587203708 11449604944 17174407416 22899209888 34348814832 45798419776 68697629664 137395259328