13686136128 has 84 divisors (see below), whose sum is σ = 44832971040. Its totient is φ = 3910323456.

The previous prime is 13686136103. The next prime is 13686136193. The reversal of 13686136128 is 82163168631.

13686136128 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 613 + 6 + 1 + 28 = 666.

13686136128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×13686136128² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 1693158 + ... + 1701221.

Almost surely, 2^13686136128 is an apocalyptic number.

13686136128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13686136128 is an abundant number, since it is smaller than the sum of its proper divisors (31146834912).

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

13686136128 is a wasteful number, since it uses less digits than its factorization.

13686136128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394404 (or 3394391 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 13686136128 in words is "thirteen billion, six hundred eighty-six million, one hundred thirty-six thousand, one hundred twenty-eight".