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137914488 = 23342941179
BaseRepresentation
bin10000011100001…
…10100001111000
3100121111210010000
420032012201320
5240301230423
621403553000
73263153025
oct1016064170
9317453100
10137914488
1170938218
123a22b760
132275a00a
141446054c
15c193843
hex8386878

137914488 has 160 divisors (see below), whose sum is σ = 411642000. Its totient is φ = 43061760.

The previous prime is 137914481. The next prime is 137914493. The reversal of 137914488 is 884419731.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137914481) 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 39 ways as a sum of consecutive naturals, for example, 770383 + ... + 770561.

Almost surely, 2137914488 is an apocalyptic number.

137914488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137914488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205821000).

137914488 is an abundant number, since it is smaller than the sum of its proper divisors (273727512).

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

137914488 is a wasteful number, since it uses less digits than its factorization.

137914488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 254 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 137914488 is about 11743.6999280465. The cubic root of 137914488 is about 516.6581650121.

The spelling of 137914488 in words is "one hundred thirty-seven million, nine hundred fourteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 41 54 58 72 81 82 87 108 116 123 162 164 174 179 216 232 246 261 324 328 348 358 369 492 522 537 648 696 716 738 783 984 1044 1074 1107 1189 1432 1476 1566 1611 2088 2148 2214 2349 2378 2952 3132 3222 3321 3567 4296 4428 4698 4756 4833 5191 6264 6444 6642 7134 7339 8856 9396 9512 9666 10382 10701 12888 13284 14268 14499 14678 15573 18792 19332 20764 21402 22017 26568 28536 28998 29356 31146 32103 38664 41528 42804 44034 46719 57996 58712 62292 64206 66051 85608 88068 93438 96309 115992 124584 128412 132102 140157 176136 186876 192618 198153 212831 256824 264204 280314 373752 385236 396306 420471 425662 528408 560628 594459 638493 770472 792612 840942 851324 1121256 1188918 1276986 1585224 1681884 1702648 1915479 2377836 2553972 3363768 3830958 4755672 5107944 5746437 7661916 11492874 15323832 17239311 22985748 34478622 45971496 68957244 137914488