136709600256 has 176 divisors, whose sum is σ = 407791876800. Its totient is φ = 45240754176.

The previous prime is 136709600243. The next prime is 136709600267. The reversal of 136709600256 is 652006907631.

136709600256 is a `hidden beast` number, since 1 + 36 + 7 + 0 + 9 + 600 + 2 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3825286 + ... + 3860858.

It is an arithmetic number, because the mean of its divisors is an integer number (2316999300).

Almost surely, 2^136709600256 is an apocalyptic number.

136709600256 is a gapful number since it is divisible by the number (16) 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 136709600256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203895938400).

136709600256 is an abundant number, since it is smaller than the sum of its proper divisors (271082276544).

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

136709600256 is a wasteful number, since it uses less digits than its factorization.

136709600256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35741 (or 35717 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 136709600256 in words is "one hundred thirty-six billion, seven hundred nine million, six hundred thousand, two hundred fifty-six".