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136574964 = 223319231113
BaseRepresentation
bin10000010001111…
…11011111110100
3100111222201122000
420020333133310
5234430344324
621315135300
73245603511
oct1010773764
9314881560
10136574964
1170102879
12398a4530
13223ab3b6
14141d2308
15becb9c9
hex823f7f4

136574964 has 144 divisors (see below), whose sum is σ = 389168640. Its totient is φ = 41368320.

The previous prime is 136574939. The next prime is 136574969. The reversal of 136574964 is 469475631.

136574964 is a `hidden beast` number, since 13 + 6 + 574 + 9 + 64 = 666.

136574964 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (544320) is a multiple of the sum of its prime divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136574969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1208572 + ... + 1208684.

It is an arithmetic number, because the mean of its divisors is an integer number (2702560).

Almost surely, 2136574964 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 136574964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194584320).

136574964 is an abundant number, since it is smaller than the sum of its proper divisors (252593676).

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

136574964 is a wasteful number, since it uses less digits than its factorization.

136574964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 168 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 136574964 is about 11686.5291682347. The cubic root of 136574964 is about 514.9800023655.

The spelling of 136574964 in words is "one hundred thirty-six million, five hundred seventy-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 31 36 38 54 57 62 76 93 108 113 114 124 171 186 226 228 279 339 342 361 372 452 513 558 589 678 684 722 837 1017 1026 1083 1116 1178 1356 1444 1674 1767 2034 2052 2147 2166 2356 3051 3249 3348 3503 3534 4068 4294 4332 5301 6102 6441 6498 7006 7068 8588 9747 10509 10602 11191 12204 12882 12996 14012 15903 19323 19494 21018 21204 22382 25764 31527 31806 33573 38646 38988 40793 42036 44764 57969 63054 63612 66557 67146 77292 81586 94581 100719 115938 122379 126108 133114 134292 163172 189162 199671 201438 231876 244758 266228 302157 367137 378324 399342 402876 489516 599013 604314 734274 798684 1101411 1198026 1208628 1264583 1468548 1797039 2202822 2396052 2529166 3594078 3793749 4405644 5058332 7188156 7587498 11381247 15174996 22762494 34143741 45524988 68287482 136574964