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135408868 = 22731732137
BaseRepresentation
bin10000001001000…
…10110011100100
3100102210111001021
420010202303210
5234131040433
621234140524
73232646020
oct1004426344
9312714037
10135408868
116a486761
1239421744
13220906ba
1413dab380
15bd4b22d
hex8122ce4

135408868 has 48 divisors (see below), whose sum is σ = 283515904. Its totient is φ = 55365120.

The previous prime is 135408853. The next prime is 135408869. The reversal of 135408868 is 868804531.

It is not an unprimeable number, because it can be changed into a prime (135408869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62296 + ... + 64432.

Almost surely, 2135408868 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 135408868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141757952).

135408868 is an abundant number, since it is smaller than the sum of its proper divisors (148107036).

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

135408868 is a wasteful number, since it uses less digits than its factorization.

135408868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The square root of 135408868 is about 11636.5316138444. The cubic root of 135408868 is about 513.5101542243.

The spelling of 135408868 in words is "one hundred thirty-five million, four hundred eight thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 14 28 31 62 73 124 146 217 292 434 511 868 1022 2044 2137 2263 4274 4526 8548 9052 14959 15841 29918 31682 59836 63364 66247 132494 156001 264988 312002 463729 624004 927458 1092007 1854916 2184014 4368028 4836031 9672062 19344124 33852217 67704434 135408868