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136468944 = 243219311609
BaseRepresentation
bin10000010001001…
…01100111010000
3100111210100012100
420020211213100
5234414001234
621313000400
73244652433
oct1010454720
9314710170
10136468944
1170040157
1239853100
1322372071
14141a581a
15beaa399
hex82259d0

136468944 has 120 divisors (see below), whose sum is σ = 415251200. Its totient is φ = 41679360.

The previous prime is 136468933. The next prime is 136468957. The reversal of 136468944 is 449864631.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 136468944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84012 + ... + 85620.

Almost surely, 2136468944 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 136468944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207625600).

136468944 is an abundant number, since it is smaller than the sum of its proper divisors (278782256).

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

136468944 is a wasteful number, since it uses less digits than its factorization.

136468944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1664 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 136468944 is about 11681.9922958372. The cubic root of 136468944 is about 514.8467121632.

The spelling of 136468944 in words is "one hundred thirty-six million, four hundred sixty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 31 36 38 48 57 62 72 76 93 114 124 144 152 171 186 228 248 279 304 342 372 456 496 558 589 684 744 912 1116 1178 1368 1488 1609 1767 2232 2356 2736 3218 3534 4464 4712 4827 5301 6436 7068 9424 9654 10602 12872 14136 14481 19308 21204 25744 28272 28962 30571 38616 42408 49879 57924 61142 77232 84816 91713 99758 115848 122284 149637 183426 199516 231696 244568 275139 299274 366852 399032 448911 489136 550278 598548 733704 798064 897822 947701 1100556 1197096 1467408 1795644 1895402 2201112 2394192 2843103 3591288 3790804 4402224 5686206 7182576 7581608 8529309 11372412 15163216 17058618 22744824 34117236 45489648 68234472 136468944