136616926957056 has 960 divisors, whose sum is σ = 511154150707200. Its totient is φ = 34868390215680.

The previous prime is 136616926957019. The next prime is 136616926957057. The reversal of 136616926957056 is 650759629616631.

136616926957056 is a `hidden beast` number, since 1 + 36 + 6 + 16 + 9 + 2 + 6 + 9 + 570 + 5 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136616926957057) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 636851991 + ... + 637066473.

It is an arithmetic number, because the mean of its divisors is an integer number (532452240320).

Almost surely, 2^{136616926957056} is an apocalyptic number.

136616926957056 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 136616926957056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255577075353600).

136616926957056 is an abundant number, since it is smaller than the sum of its proper divisors (374537223750144).

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

136616926957056 is a wasteful number, since it uses less digits than its factorization.

136616926957056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214572 (or 214539 counting only the distinct ones).

The product of its (nonzero) digits is 661348800, while the sum is 72.

The spelling of 136616926957056 in words is "one hundred thirty-six trillion, six hundred sixteen billion, nine hundred twenty-six million, nine hundred fifty-seven thousand, fifty-six".