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136489536 = 2634113233
BaseRepresentation
bin10000010001010…
…10101001000000
3100111211101110000
420020222221000
5234420131121
621313240000
73245066451
oct1010525100
9314741400
10136489536
1170054677
1239863000
132237b551
14141ad128
15beb1526
hex822aa40

136489536 has 140 divisors (see below), whose sum is σ = 409930092. Its totient is φ = 44900352.

The previous prime is 136489501. The next prime is 136489537. The reversal of 136489536 is 635984631.

136489536 is a `hidden beast` number, since 1 + 36 + 4 + 89 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11943936 + 124545600 = 3456^2 + 11160^2 .

It is a junction number, because it is equal to n+sod(n) for n = 136489491 and 136489500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136489537) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 585676 + ... + 585908.

Almost surely, 2136489536 is an apocalyptic number.

136489536 is a gapful number since it is divisible by the number (16) 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 136489536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204965046).

136489536 is an abundant number, since it is smaller than the sum of its proper divisors (273440556).

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

136489536 is a wasteful number, since it uses less digits than its factorization.

136489536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 351 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 136489536 is about 11682.8736191059. The cubic root of 136489536 is about 514.8726061872.

The spelling of 136489536 in words is "one hundred thirty-six million, four hundred eighty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 113 144 162 192 216 226 233 288 324 339 432 452 466 576 648 678 699 864 904 932 1017 1296 1356 1398 1728 1808 1864 2034 2097 2592 2712 2796 3051 3616 3728 4068 4194 5184 5424 5592 6102 6291 7232 7456 8136 8388 9153 10848 11184 12204 12582 14912 16272 16776 18306 18873 21696 22368 24408 25164 26329 32544 33552 36612 37746 44736 48816 50328 52658 65088 67104 73224 75492 78987 97632 100656 105316 134208 146448 150984 157974 195264 201312 210632 236961 292896 301968 315948 402624 421264 473922 585792 603936 631896 710883 842528 947844 1207872 1263792 1421766 1685056 1895688 2132649 2527584 2843532 3791376 4265298 5055168 5687064 7582752 8530596 11374128 15165504 17061192 22748256 34122384 45496512 68244768 136489536