136008617010400 has 72 divisors (see below), whose sum is σ = 335318472478584. Its totient is φ = 53864798784000.

The previous prime is 136008617010379. The next prime is 136008617010419. The reversal of 136008617010400 is 4010716800631.

It is a self number, because there is not a number n which added to its sum of digits gives 136008617010400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 841556682 + ... + 841718281.

It is an arithmetic number, because the mean of its divisors is an integer number (4657201006647).

Almost surely, 2^{136008617010400} is an apocalyptic number.

136008617010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136008617010400 is an abundant number, since it is smaller than the sum of its proper divisors (199309855468184).

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

136008617010400 is a wasteful number, since it uses less digits than its factorization.

136008617010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683275084 (or 1683275071 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 136008617010400 in words is "one hundred thirty-six trillion, eight billion, six hundred seventeen million, ten thousand, four hundred".