135264160 has 48 divisors (see below), whose sum is σ = 329882112. Its totient is φ = 52358400.

The previous prime is 135264133. The next prime is 135264161. The reversal of 135264160 is 61462531.

135264160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135264161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8676 + ... + 18595.

It is an arithmetic number, because the mean of its divisors is an integer number (6872544).

Almost surely, 2^135264160 is an apocalyptic number.

135264160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135264160 is an abundant number, since it is smaller than the sum of its proper divisors (194617952).

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

135264160 is a wasteful number, since it uses less digits than its factorization.

135264160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27317 (or 27309 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 135264160 is about 11630.3121196295. The cubic root of 135264160 is about 513.3271639595.

It can be divided in two parts, 135264 and 160, that added together give a square (135424 = 368²).

The spelling of 135264160 in words is "one hundred thirty-five million, two hundred sixty-four thousand, one hundred sixty".