136366516656 has 320 divisors, whose sum is σ = 406533980160. Its totient is φ = 43741451520.

The previous prime is 136366516639. The next prime is 136366516667. The reversal of 136366516656 is 656615663631.

136366516656 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 66 + 516 + 65 + 6 = 666.

It is a super-2 number, since 2×136366516656² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 444190455 + ... + 444190761.

It is an arithmetic number, because the mean of its divisors is an integer number (1270418688).

Almost surely, 2^136366516656 is an apocalyptic number.

136366516656 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 136366516656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203266990080).

136366516656 is an abundant number, since it is smaller than the sum of its proper divisors (270167463504).

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

136366516656 is a wasteful number, since it uses less digits than its factorization.

136366516656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 657 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 54.

The spelling of 136366516656 in words is "one hundred thirty-six billion, three hundred sixty-six million, five hundred sixteen thousand, six hundred fifty-six".