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136968526960 = 24519378772777
BaseRepresentation
bin111111110001111110…
…1011101110001110000
3111002112120110002111221
41333203331131301300
54221002420330320
6142531130514424
712616131161326
oct1774375356160
9432476402457
10136968526960
11530a7187621
1222666595a14
13cbba80b175
1468b4b91d16
153869a123aa
hex1fe3f5dc70

136968526960 has 160 divisors (see below), whose sum is σ = 344788914240. Its totient is φ = 50425307136.

The previous prime is 136968526927. The next prime is 136968526987. The reversal of 136968526960 is 69625869631.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49321092 + ... + 49323868.

It is an arithmetic number, because the mean of its divisors is an integer number (2154930714).

Almost surely, 2136968526960 is an apocalyptic number.

136968526960 is a gapful number since it is divisible by the number (10) 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 136968526960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172394457120).

136968526960 is an abundant number, since it is smaller than the sum of its proper divisors (207820387280).

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

136968526960 is a wasteful number, since it uses less digits than its factorization.

136968526960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3723 (or 3717 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 61.

The spelling of 136968526960 in words is "one hundred thirty-six billion, nine hundred sixty-eight million, five hundred twenty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 37 38 40 74 76 80 95 148 152 185 190 296 304 370 380 592 703 740 760 877 1406 1480 1520 1754 2777 2812 2960 3508 3515 4385 5554 5624 7016 7030 8770 11108 11248 13885 14032 14060 16663 17540 22216 27770 28120 32449 33326 35080 44432 52763 55540 56240 64898 66652 70160 83315 102749 105526 111080 129796 133304 162245 166630 205498 211052 222160 259592 263815 266608 324490 333260 410996 422104 513745 519184 527630 616531 648980 666520 821992 844208 1027490 1055260 1233062 1297960 1333040 1643984 1952231 2054980 2110520 2435429 2466124 2595920 3082655 3904462 4109960 4221040 4870858 4932248 6165310 7808924 8219920 9741716 9761155 9864496 12177145 12330620 15617848 19483432 19522310 24354290 24661240 31235696 38966864 39044620 46273151 48708580 49322480 78089240 90110873 92546302 97417160 156178480 180221746 185092604 194834320 231365755 360443492 370185208 450554365 462731510 720886984 740370416 901108730 925463020 1441773968 1712106587 1802217460 1850926040 3424213174 3604434920 3701852080 6848426348 7208869840 8560532935 13696852696 17121065870 27393705392 34242131740 68484263480 136968526960