136215827664 has 160 divisors (see below), whose sum is σ = 408516710400. Its totient is φ = 38305612800.

The previous prime is 136215827621. The next prime is 136215827687. The reversal of 136215827664 is 466728512631.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15048612 + ... + 15057660.

It is an arithmetic number, because the mean of its divisors is an integer number (2553229440).

Almost surely, 2^136215827664 is an apocalyptic number.

136215827664 is a gapful number since it is divisible by the number (14) 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 136215827664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204258355200).

136215827664 is an abundant number, since it is smaller than the sum of its proper divisors (272300882736).

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

136215827664 is a wasteful number, since it uses less digits than its factorization.

136215827664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9769 (or 9763 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The spelling of 136215827664 in words is "one hundred thirty-six billion, two hundred fifteen million, eight hundred twenty-seven thousand, six hundred sixty-four".