136930782496320 has 672 divisors, whose sum is σ = 521014356170880. Its totient is φ = 32875325521920.

The previous prime is 136930782496307. The next prime is 136930782496369. The reversal of 136930782496320 is 23694287039631.

136930782496320 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 30 + 7 + 82 + 496 + 32 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86273100 + ... + 87845940.

Almost surely, 2^{136930782496320} is an apocalyptic number.

136930782496320 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 136930782496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260507178085440).

136930782496320 is an abundant number, since it is smaller than the sum of its proper divisors (384083573674560).

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

136930782496320 is a wasteful number, since it uses less digits than its factorization.

136930782496320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572963 (or 1572950 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 136930782496320 in words is "one hundred thirty-six trillion, nine hundred thirty billion, seven hundred eighty-two million, four hundred ninety-six thousand, three hundred twenty".