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135141504 = 273351931
BaseRepresentation
bin10000000111000…
…01100010000000
3100102021220021220
420003201202000
5234044012004
621224315040
73230453361
oct1003414200
9312256256
10135141504
116a3138a3
1239312a80
1321cc8ab4
1413d3bb68
15bce6dd9
hex80e1880

135141504 has 32 divisors (see below), whose sum is σ = 358970640. Its totient is φ = 45047040.

The previous prime is 135141481. The next prime is 135141521. The reversal of 135141504 is 405141531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1351415042 = 36526452206764032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 175582 + ... + 176349.

Almost surely, 2135141504 is an apocalyptic number.

It is an amenable number.

135141504 is an abundant number, since it is smaller than the sum of its proper divisors (223829136).

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

135141504 is an equidigital number, since it uses as much as digits as its factorization.

135141504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351948 (or 351936 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 135141504 is about 11625.0378063901. The cubic root of 135141504 is about 513.1719572945.

The spelling of 135141504 in words is "one hundred thirty-five million, one hundred forty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 351931 703862 1055793 1407724 2111586 2815448 4223172 5630896 8446344 11261792 16892688 22523584 33785376 45047168 67570752 135141504