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135462912 = 21631353
BaseRepresentation
bin10000001001100…
…00000000000000
3100102220020011220
420010300000000
5234134303122
621235235040
73233262414
oct1004600000
9312806156
10135462912
116a513322
1239448a80
13220ac190
1413dc2d44
15bd5c25c
hex8130000

135462912 has 136 divisors (see below), whose sum is σ = 396358704. Its totient is φ = 40894464.

The previous prime is 135462907. The next prime is 135462937. The reversal of 135462912 is 219264531.

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, 2555878 + ... + 2555930.

Almost surely, 2135462912 is an apocalyptic number.

135462912 is a gapful number since it is divisible by the number (12) 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 135462912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198179352).

135462912 is an abundant number, since it is smaller than the sum of its proper divisors (260895792).

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

135462912 is an frugal number, since it uses more digits than its factorization.

135462912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 71 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 135462912 is about 11638.8535517894. The cubic root of 135462912 is about 513.5784620387.

The spelling of 135462912 in words is "one hundred thirty-five million, four hundred sixty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 64 78 96 104 106 128 156 159 192 208 212 256 312 318 384 416 424 512 624 636 689 768 832 848 1024 1248 1272 1378 1536 1664 1696 2048 2067 2496 2544 2756 3072 3328 3392 4096 4134 4992 5088 5512 6144 6656 6784 8192 8268 9984 10176 11024 12288 13312 13568 16384 16536 19968 20352 22048 24576 26624 27136 32768 33072 39936 40704 44096 49152 53248 54272 65536 66144 79872 81408 88192 98304 106496 108544 132288 159744 162816 176384 196608 212992 217088 264576 319488 325632 352768 425984 434176 529152 638976 651264 705536 851968 868352 1058304 1277952 1302528 1411072 1736704 2116608 2555904 2605056 2822144 3473408 4233216 5210112 5644288 8466432 10420224 11288576 16932864 22577152 33865728 45154304 67731456 135462912