136314116400 has 240 divisors, whose sum is σ = 544407084288. Its totient is φ = 28324992000.

The previous prime is 136314116381. The next prime is 136314116423. The reversal of 136314116400 is 4611413631.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 645231 + ... + 830030.

Almost surely, 2^136314116400 is an apocalyptic number.

136314116400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136314116400 is an abundant number, since it is smaller than the sum of its proper divisors (408092967888).

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

136314116400 is a wasteful number, since it uses less digits than its factorization.

136314116400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475300 (or 1475289 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 136314116400 in words is "one hundred thirty-six billion, three hundred fourteen million, one hundred sixteen thousand, four hundred".