135312576 has 112 divisors (see below), whose sum is σ = 414430464. Its totient is φ = 38163456.

The previous prime is 135312559. The next prime is 135312599. The reversal of 135312576 is 675213531.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110946 + ... + 112158.

It is an arithmetic number, because the mean of its divisors is an integer number (3700272).

Almost surely, 2^135312576 is an apocalyptic number.

135312576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135312576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207215232).

135312576 is an abundant number, since it is smaller than the sum of its proper divisors (279117888).

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

135312576 is a wasteful number, since it uses less digits than its factorization.

135312576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1308 counting only the distinct ones).

The product of its digits is 18900, while the sum is 33.

The square root of 135312576 is about 11632.3933908719. The cubic root of 135312576 is about 513.3884028550.

The spelling of 135312576 in words is "one hundred thirty-five million, three hundred twelve thousand, five hundred seventy-six".