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135124520 = 2354182393
BaseRepresentation
bin10000000110111…
…01011000101000
3100102021000222212
420003131120220
5234042441040
621224104252
73230353016
oct1003353050
9312230885
10135124520
116a302063
1239305088
1321cc114b
1413d358b6
15bce1d65
hex80dd628

135124520 has 32 divisors (see below), whose sum is σ = 311449320. Its totient is φ = 52730880.

The previous prime is 135124501. The next prime is 135124537. The reversal of 135124520 is 25421531.

It can be written as a sum of positive squares in 4 ways, for example, as 101646724 + 33477796 = 10082^2 + 5786^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39557 + ... + 42836.

Almost surely, 2135124520 is an apocalyptic number.

135124520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135124520 is an abundant number, since it is smaller than the sum of its proper divisors (176324800).

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

135124520 is a wasteful number, since it uses less digits than its factorization.

135124520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82445 (or 82441 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 135124520 is about 11624.3072911894. The cubic root of 135124520 is about 513.1504586495.

The spelling of 135124520 in words is "one hundred thirty-five million, one hundred twenty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 82393 164786 329572 411965 659144 823930 1647860 3295720 3378113 6756226 13512452 16890565 27024904 33781130 67562260 135124520