136616256 has 168 divisors, whose sum is σ = 462385664. Its totient is φ = 37739520.

The previous prime is 136616237. The next prime is 136616323. The reversal of 136616256 is 652616631.

136616256 is a `hidden beast` number, since 1 + 36 + 616 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 136616256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124446 + ... + 125538.

Almost surely, 2^136616256 is an apocalyptic number.

136616256 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 136616256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231192832).

136616256 is an abundant number, since it is smaller than the sum of its proper divisors (325769408).

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

136616256 is a wasteful number, since it uses less digits than its factorization.

136616256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1136 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 136616256 is about 11688.2956841449. The cubic root of 136616256 is about 515.0318967268.

The spelling of 136616256 in words is "one hundred thirty-six million, six hundred sixteen thousand, two hundred fifty-six".