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136153923168 = 25317401208049
BaseRepresentation
bin111111011001101100…
…1111111111001100000
3111000102210121221012010
41332303121333321200
54212320401020133
6142314231032520
712560010152214
oct1766331777140
9430383557163
10136153923168
115281938174a
122247980b740
13cabab140a3
146838904944
15381d253263
hex1fb367fe60

136153923168 has 96 divisors (see below), whose sum is σ = 379373349600. Its totient is φ = 42608230400.

The previous prime is 136153923133. The next prime is 136153923197. The reversal of 136153923168 is 861329351631.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 550408 + ... + 758456.

It is an arithmetic number, because the mean of its divisors is an integer number (3951805725).

Almost surely, 2136153923168 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 136153923168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189686674800).

136153923168 is an abundant number, since it is smaller than the sum of its proper divisors (243219426432).

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

136153923168 is a wasteful number, since it uses less digits than its factorization.

136153923168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208480 (or 208472 counting only the distinct ones).

The product of its digits is 699840, while the sum is 48.

The spelling of 136153923168 in words is "one hundred thirty-six billion, one hundred fifty-three million, nine hundred twenty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 401 408 544 802 816 1203 1604 1632 2406 3208 4812 6416 6817 9624 12832 13634 19248 20451 27268 38496 40902 54536 81804 109072 163608 208049 218144 327216 416098 624147 654432 832196 1248294 1664392 2496588 3328784 3536833 4993176 6657568 7073666 9986352 10610499 14147332 19972704 21220998 28294664 42441996 56589328 83427649 84883992 113178656 166855298 169767984 250282947 333710596 339535968 500565894 667421192 1001131788 1334842384 1418270033 2002263576 2669684768 2836540066 4004527152 4254810099 5673080132 8009054304 8509620198 11346160264 17019240396 22692320528 34038480792 45384641056 68076961584 136153923168