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136987632 = 24331723811
BaseRepresentation
bin10000010101001…
…00001111110000
3100112202200201000
420022210033300
5240032101012
621332042000
73252242565
oct1012441760
9315680630
10136987632
1170364921
1239a63300
13224c4192
141429c86c
15c05dddc
hex82a43f0

136987632 has 160 divisors (see below), whose sum is σ = 434972160. Its totient is φ = 41057280.

The previous prime is 136987589. The next prime is 136987633. The reversal of 136987632 is 236789631.

136987632 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 8 + 7 + 632 = 666.

It is a super-2 number, since 2×1369876322 = 37531222641934848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136987633) 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 31 ways as a sum of consecutive naturals, for example, 168507 + ... + 169317.

It is an arithmetic number, because the mean of its divisors is an integer number (2718576).

Almost surely, 2136987632 is an apocalyptic number.

136987632 is a gapful number since it is divisible by the number (12) 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 136987632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217486080).

136987632 is an abundant number, since it is smaller than the sum of its proper divisors (297984528).

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

136987632 is a wasteful number, since it uses less digits than its factorization.

136987632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 856 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 136987632 is about 11704.1715640194. The cubic root of 136987632 is about 515.4981600075.

The spelling of 136987632 in words is "one hundred thirty-six million, nine hundred eighty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 23 24 27 34 36 46 48 51 54 68 69 72 92 102 108 136 138 144 153 184 204 207 216 272 276 306 368 391 408 414 432 459 552 612 621 782 811 816 828 918 1104 1173 1224 1242 1564 1622 1656 1836 2346 2433 2448 2484 3128 3244 3312 3519 3672 4692 4866 4968 6256 6488 7038 7299 7344 9384 9732 9936 10557 12976 13787 14076 14598 18653 18768 19464 21114 21897 27574 28152 29196 37306 38928 41361 42228 43794 55148 55959 56304 58392 74612 82722 84456 87588 110296 111918 116784 124083 149224 165444 167877 168912 175176 220592 223836 248166 298448 317101 330888 335754 350352 372249 447672 496332 503631 634202 661776 671508 744498 895344 951303 992664 1007262 1268404 1343016 1488996 1902606 1985328 2014524 2536808 2686032 2853909 2977992 3805212 4029048 5073616 5707818 5955984 7610424 8058096 8561727 11415636 15220848 17123454 22831272 34246908 45662544 68493816 136987632