136244788721568 has 96 divisors (see below), whose sum is σ = 399086130643200. Its totient is φ = 45220015646208.

The previous prime is 136244788721551. The next prime is 136244788721599. The reversal of 136244788721568 is 865127887442631.

136244788721568 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 4 + 478 + 87 + 2 + 15 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 136244788721496 and 136244788721505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338190808 + ... + 338593431.

It is an arithmetic number, because the mean of its divisors is an integer number (4157147194200).

Almost surely, 2^{136244788721568} is an apocalyptic number.

136244788721568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

136244788721568 is an abundant number, since it is smaller than the sum of its proper divisors (262841341921632).

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

136244788721568 is a wasteful number, since it uses less digits than its factorization.

136244788721568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676784491 (or 676784477 counting only the distinct ones).

The product of its digits is 867041280, while the sum is 72.

The spelling of 136244788721568 in words is "one hundred thirty-six trillion, two hundred forty-four billion, seven hundred eighty-eight million, seven hundred twenty-one thousand, five hundred sixty-eight".