135131920 has 80 divisors (see below), whose sum is σ = 391724928. Its totient is φ = 42117120.

The previous prime is 135131911. The next prime is 135131921. The reversal of 135131920 is 29131531.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (135131921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4809 + ... + 17128.

Almost surely, 2^135131920 is an apocalyptic number.

135131920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135131920 is an abundant number, since it is smaller than the sum of its proper divisors (256593008).

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

135131920 is a wasteful number, since it uses less digits than its factorization.

135131920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21968 (or 21962 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 135131920 is about 11624.6255853683. The cubic root of 135131920 is about 513.1598259207.

The spelling of 135131920 in words is "one hundred thirty-five million, one hundred thirty-one thousand, nine hundred twenty".