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136121150916 = 223410321992
BaseRepresentation
bin111111011000101110…
…0111110110111000100
3111000100111221221010000
41332301130332313010
54212234003312131
6142311100401300
712556131456252
oct1766134766704
9430314857100
10136121150916
1152801928443
122246a846230
13cab40ab31a
1468344135d2
15381a42cce6
hex1fb173edc4

136121150916 has 135 divisors (see below), whose sum is σ = 361150731711. Its totient is φ = 44707400496.

The previous prime is 136121150863. The next prime is 136121150929. The reversal of 136121150916 is 619051121631.

The square root of 136121150916 is 368946.

It is a perfect power (a square), and thus also a powerful number.

136121150916 is a `hidden beast` number, since 13 + 6 + 121 + 1 + 509 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 684025785 + ... + 684025983.

Almost surely, 2136121150916 is an apocalyptic number.

136121150916 is the 368946-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136121150916

136121150916 is an abundant number, since it is smaller than the sum of its proper divisors (225029580795).

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

136121150916 is an equidigital number, since it uses as much as digits as its factorization.

136121150916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

Multiplying 136121150916 by its sum of digits (36), we get a square (4900361432976 = 22136762).

136121150916 divided by its sum of digits (36) gives a square (3781143081 = 614912).

The spelling of 136121150916 in words is "one hundred thirty-six billion, one hundred twenty-one million, one hundred fifty thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 103 108 162 199 206 309 324 398 412 597 618 796 927 1194 1236 1791 1854 2388 2781 3582 3708 5373 5562 7164 8343 10609 10746 11124 16119 16686 20497 21218 21492 31827 32238 33372 39601 40994 42436 61491 63654 64476 79202 81988 95481 118803 122982 127308 158404 184473 190962 237606 245964 286443 356409 368946 381924 475212 553419 572886 712818 737892 859329 1069227 1106838 1145772 1425636 1660257 1718658 2111191 2138454 2213676 3207681 3320514 3437316 4078903 4222382 4276908 6333573 6415362 6641028 8157806 8444764 12236709 12667146 12830724 16315612 19000719 24473418 25334292 36710127 38001438 48946836 57002157 73420254 76002876 110130381 114004314 146840508 171006471 220260762 228008628 330391143 342012942 420127009 440521524 660782286 684025884 840254018 1260381027 1321564572 1680508036 2520762054 3781143081 5041524108 7562286162 11343429243 15124572324 22686858486 34030287729 45373716972 68060575458 136121150916