13629136120 has 32 divisors (see below), whose sum is σ = 30668951520. Its totient is φ = 5451050880.

The previous prime is 13629136111. The next prime is 13629136141. The reversal of 13629136120 is 2163192631.

13629136120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 587950 + ... + 610690.

It is an arithmetic number, because the mean of its divisors is an integer number (958404735).

Almost surely, 2^13629136120 is an apocalyptic number.

13629136120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13629136120 is an abundant number, since it is smaller than the sum of its proper divisors (17039815400).

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

13629136120 is a wasteful number, since it uses less digits than its factorization.

13629136120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37735 (or 37731 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The spelling of 13629136120 in words is "thirteen billion, six hundred twenty-nine million, one hundred thirty-six thousand, one hundred twenty".