135513920 has 28 divisors (see below), whose sum is σ = 322693284. Its totient is φ = 54205440.

The previous prime is 135513913. The next prime is 135513967. The reversal of 135513920 is 29315531.

135513920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 18181696 + 117332224 = 4264^2 + 10832^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 211421 + ... + 212060.

Almost surely, 2^135513920 is an apocalyptic number.

135513920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135513920 is an abundant number, since it is smaller than the sum of its proper divisors (187179364).

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

135513920 is an equidigital number, since it uses as much as digits as its factorization.

135513920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423498 (or 423488 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 29.

The square root of 135513920 is about 11641.0446266647. The cubic root of 135513920 is about 513.6429158990.

It can be divided in two parts, 13551 and 3920, that added together give a palindrome (17471).

The spelling of 135513920 in words is "one hundred thirty-five million, five hundred thirteen thousand, nine hundred twenty".