136502964864 has 384 divisors, whose sum is σ = 454395801600. Its totient is φ = 38528483328.

The previous prime is 136502964833. The next prime is 136502964889. The reversal of 136502964864 is 468469205631.

136502964864 is a `hidden beast` number, since 1 + 3 + 6 + 502 + 96 + 48 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 136502964864.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 356404417 + ... + 356404799.

It is an arithmetic number, because the mean of its divisors is an integer number (1183322400).

Almost surely, 2^136502964864 is an apocalyptic number.

136502964864 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 136502964864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227197900800).

136502964864 is an abundant number, since it is smaller than the sum of its proper divisors (317892836736).

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

136502964864 is a wasteful number, since it uses less digits than its factorization.

136502964864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 136502964864 in words is "one hundred thirty-six billion, five hundred two million, nine hundred sixty-four thousand, eight hundred sixty-four".