135125522664 has 128 divisors (see below), whose sum is σ = 378277516800. Its totient is φ = 39876419840.

The previous prime is 135125522657. The next prime is 135125522713. The reversal of 135125522664 is 466225521531.

135125522664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×135125522664³ (a number of 34 digits) contains 333 as substring.

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, 1626094 + ... + 1707170.

It is an arithmetic number, because the mean of its divisors is an integer number (2955293100).

Almost surely, 2^135125522664 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 135125522664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189138758400).

135125522664 is an abundant number, since it is smaller than the sum of its proper divisors (243151994136).

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

135125522664 is a wasteful number, since it uses less digits than its factorization.

135125522664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81263 (or 81259 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The spelling of 135125522664 in words is "one hundred thirty-five billion, one hundred twenty-five million, five hundred twenty-two thousand, six hundred sixty-four".