136577426760 has 384 divisors, whose sum is σ = 494471952000. Its totient is φ = 32532799488.

The previous prime is 136577426753. The next prime is 136577426803. The reversal of 136577426760 is 67624775631.

It is a happy number.

136577426760 is a `hidden beast` number, since 1 + 3 + 6 + 577 + 4 + 2 + 6 + 7 + 60 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 136577426697 and 136577426706.

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, 10464799 + ... + 10477841.

It is an arithmetic number, because the mean of its divisors is an integer number (1287687375).

Almost surely, 2^136577426760 is an apocalyptic number.

136577426760 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 136577426760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247235976000).

136577426760 is an abundant number, since it is smaller than the sum of its proper divisors (357894525240).

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

136577426760 is a wasteful number, since it uses less digits than its factorization.

136577426760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13165 (or 13158 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 136577426760 in words is "one hundred thirty-six billion, five hundred seventy-seven million, four hundred twenty-six thousand, seven hundred sixty".