13136546304 has 400 divisors, whose sum is σ = 46059159168. Its totient is φ = 3648872448.

The previous prime is 13136546279. The next prime is 13136546447. The reversal of 13136546304 is 40364563131.

13136546304 is a `hidden beast` number, since 1 + 3 + 13 + 6 + 5 + 4 + 630 + 4 = 666.

13136546304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 10740637 + ... + 10741859.

Almost surely, 2^13136546304 is an apocalyptic number.

13136546304 is a gapful number since it is divisible by the number (14) 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 13136546304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23029579584).

13136546304 is an abundant number, since it is smaller than the sum of its proper divisors (32922612864).

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

13136546304 is an equidigital number, since it uses as much as digits as its factorization.

13136546304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 13136546304 in words is "thirteen billion, one hundred thirty-six million, five hundred forty-six thousand, three hundred four".