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135331968 = 2731720731
BaseRepresentation
bin10000001000100…
…00000010000000
3100102122120120010
420010100002000
5234121110333
621232344520
73232205562
oct1004200200
9312576503
10135331968
116a433a02
12393a5140
13220646b5
1413d8b332
15bd33563
hex8110080

135331968 has 64 divisors (see below), whose sum is σ = 380639520. Its totient is φ = 42455040.

The previous prime is 135331967. The next prime is 135331969. The reversal of 135331968 is 869133531.

It is an interprime number because it is at equal distance from previous prime (135331967) and next prime (135331969).

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

It is not an unprimeable number, because it can be changed into a prime (135331967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3838 + ... + 16893.

Almost surely, 2135331968 is an apocalyptic number.

It is an amenable number.

135331968 is an abundant number, since it is smaller than the sum of its proper divisors (245307552).

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

135331968 is a wasteful number, since it uses less digits than its factorization.

135331968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20765 (or 20753 counting only the distinct ones).

The product of its digits is 58320, while the sum is 39.

The square root of 135331968 is about 11633.2268954061. The cubic root of 135331968 is about 513.4129266961.

The spelling of 135331968 in words is "one hundred thirty-five million, three hundred thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 20731 41462 62193 82924 124386 165848 248772 331696 352427 497544 663392 704854 995088 1057281 1326784 1409708 1990176 2114562 2653568 2819416 3980352 4229124 5638832 7960704 8458248 11277664 16916496 22555328 33832992 45110656 67665984 135331968