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135677568 = 2731327179
BaseRepresentation
bin10000001011001…
…00011010000000
3100110022010122010
420011210122000
5234213140233
621244012520
73235145265
oct1005443200
9313263563
10135677568
116a64a624
1239531140
1322155ab0
141403b26c
15bda0b63
hex8164680

135677568 has 64 divisors (see below), whose sum is σ = 388130400. Its totient is φ = 41745408.

The previous prime is 135677551. The next prime is 135677587. The reversal of 135677568 is 865776531.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8598 + ... + 18581.

Almost surely, 2135677568 is an apocalyptic number.

It is an amenable number.

135677568 is an abundant number, since it is smaller than the sum of its proper divisors (252452832).

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

135677568 is a wasteful number, since it uses less digits than its factorization.

135677568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27209 (or 27197 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 48.

The square root of 135677568 is about 11648.0714283524. The cubic root of 135677568 is about 513.8495928778.

The spelling of 135677568 in words is "one hundred thirty-five million, six hundred seventy-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 27179 54358 81537 108716 163074 217432 326148 353327 434864 652296 706654 869728 1059981 1304592 1413308 1739456 2119962 2609184 2826616 3478912 4239924 5218368 5653232 8479848 10436736 11306464 16959696 22612928 33919392 45225856 67838784 135677568