136313940874320 has 1920 divisors, whose sum is σ = 529262893006848. Its totient is φ = 31151922278400.

The previous prime is 136313940874207. The next prime is 136313940874379. The reversal of 136313940874320 is 23478049313631.

136313940874320 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 139 + 408 + 74 + 32 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 316273644505 + ... + 316273644935.

Almost surely, 2^{136313940874320} is an apocalyptic number.

136313940874320 is a gapful number since it is divisible by the number (10) 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 136313940874320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264631446503424).

136313940874320 is an abundant number, since it is smaller than the sum of its proper divisors (392948952132528).

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

136313940874320 is a wasteful number, since it uses less digits than its factorization.

136313940874320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 136313940874320 in words is "one hundred thirty-six trillion, three hundred thirteen billion, nine hundred forty million, eight hundred seventy-four thousand, three hundred twenty".