136831497678720 has 2048 divisors, whose sum is σ = 573108105024000. Its totient is φ = 30924283576320.

The previous prime is 136831497678709. The next prime is 136831497678731. The reversal of 136831497678720 is 27876794138631.

136831497678720 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 3 + 1 + 497 + 67 + 8 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (136831497678709) and next prime (136831497678731).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12682495086 + ... + 12682505874.

Almost surely, 2^{136831497678720} is an apocalyptic number.

136831497678720 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 136831497678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286554052512000).

136831497678720 is an abundant number, since it is smaller than the sum of its proper divisors (436276607345280).

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

136831497678720 is a wasteful number, since it uses less digits than its factorization.

136831497678720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10900 (or 10870 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 136831497678720 in words is "one hundred thirty-six trillion, eight hundred thirty-one billion, four hundred ninety-seven million, six hundred seventy-eight thousand, seven hundred twenty".