135515120 has 40 divisors (see below), whose sum is σ = 339311616. Its totient is φ = 50035968.

The previous prime is 135515113. The next prime is 135515123. The reversal of 135515120 is 21515531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×135515120² = 36728695497228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135515123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64112 + ... + 66191.

Almost surely, 2^135515120 is an apocalyptic number.

135515120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135515120 is an abundant number, since it is smaller than the sum of its proper divisors (203796496).

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

135515120 is a wasteful number, since it uses less digits than its factorization.

135515120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130329 (or 130323 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The square root of 135515120 is about 11641.0961683168. The cubic root of 135515120 is about 513.6444320278.

The spelling of 135515120 in words is "one hundred thirty-five million, five hundred fifteen thousand, one hundred twenty".