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135744264 = 23326013137
BaseRepresentation
bin10000001011101…
…00101100001000
3100110102112010100
420011310230020
5234222304024
621245245400
73235543605
oct1005645410
9313375110
10135744264
116a695747
1239563860
132217a266
14140576ac
15bdb57c9
hex8174b08

135744264 has 48 divisors (see below), whose sum is σ = 368369820. Its totient is φ = 45158400.

The previous prime is 135744251. The next prime is 135744283. The reversal of 135744264 is 462447531.

135744264 is a `hidden beast` number, since 1 + 357 + 44 + 264 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97180164 + 38564100 = 9858^2 + 6210^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41704 + ... + 44840.

Almost surely, 2135744264 is an apocalyptic number.

It is an amenable number.

135744264 is an abundant number, since it is smaller than the sum of its proper divisors (232625556).

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

135744264 is a wasteful number, since it uses less digits than its factorization.

135744264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3750 (or 3743 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 135744264 is about 11650.9340398099. The cubic root of 135744264 is about 513.9337780008.

The spelling of 135744264 in words is "one hundred thirty-five million, seven hundred forty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 601 1202 1803 2404 3137 3606 4808 5409 6274 7212 9411 10818 12548 14424 18822 21636 25096 28233 37644 43272 56466 75288 112932 225864 1885337 3770674 5656011 7541348 11312022 15082696 16968033 22624044 33936066 45248088 67872132 135744264