136415005920 has 144 divisors (see below), whose sum is σ = 465612153552. Its totient is φ = 36369838080.

The previous prime is 136415005919. The next prime is 136415005931. The reversal of 136415005920 is 29500514631.

136415005920 is a `hidden beast` number, since 1 + 3 + 64 + 1 + 5 + 0 + 0 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12970584 + ... + 12981096.

It is an arithmetic number, because the mean of its divisors is an integer number (3233417733).

Almost surely, 2^136415005920 is an apocalyptic number.

136415005920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136415005920 is an abundant number, since it is smaller than the sum of its proper divisors (329197147632).

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

136415005920 is a wasteful number, since it uses less digits than its factorization.

136415005920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19545 (or 19534 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 136415005920 in words is "one hundred thirty-six billion, four hundred fifteen million, five thousand, nine hundred twenty".