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135133524 = 223215124859
BaseRepresentation
bin10000000110111…
…11100101010100
3100102021111100100
420003133211110
5234043233044
621224214100
73230421201
oct1003374524
9312244310
10135133524
116a3088a9
123930a330
1321cc5286
1413d38ca8
15bce4869
hex80df954

135133524 has 36 divisors (see below), whose sum is σ = 343863520. Its totient is φ = 44744400.

The previous prime is 135133501. The next prime is 135133547. The reversal of 135133524 is 425331531.

135133524 is a `hidden beast` number, since 1 + 3 + 5 + 133 + 524 = 666.

It is an interprime number because it is at equal distance from previous prime (135133501) and next prime (135133547).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1351335242 = 36522138617317152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6994 + ... + 17865.

Almost surely, 2135133524 is an apocalyptic number.

It is an amenable number.

135133524 is an abundant number, since it is smaller than the sum of its proper divisors (208729996).

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

135133524 is a wasteful number, since it uses less digits than its factorization.

135133524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25020 (or 25015 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 135133524 is about 11624.6945766330. The cubic root of 135133524 is about 513.1618562950.

The spelling of 135133524 in words is "one hundred thirty-five million, one hundred thirty-three thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 151 302 453 604 906 1359 1812 2718 5436 24859 49718 74577 99436 149154 223731 298308 447462 894924 3753709 7507418 11261127 15014836 22522254 33783381 45044508 67566762 135133524