135561264 has 160 divisors (see below), whose sum is σ = 401117184. Its totient is φ = 39198720.

The previous prime is 135561259. The next prime is 135561271. The reversal of 135561264 is 462165531.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581692 + ... + 581924.

Almost surely, 2^135561264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135561264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200558592).

135561264 is an abundant number, since it is smaller than the sum of its proper divisors (265555920).

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

135561264 is a wasteful number, since it uses less digits than its factorization.

135561264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 309 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 135561264 is about 11643.0779435680. The cubic root of 135561264 is about 513.7027254468.

The spelling of 135561264 in words is "one hundred thirty-five million, five hundred sixty-one thousand, two hundred sixty-four".