136237572864 has 288 divisors, whose sum is σ = 417410963200. Its totient is φ = 44348580864.

The previous prime is 136237572857. The next prime is 136237572899. The reversal of 136237572864 is 468275732631.

It is a happy number.

136237572864 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 3 + 7 + 572 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 136237572864.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24071667 + ... + 24077325.

Almost surely, 2^136237572864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136237572864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208705481600).

136237572864 is an abundant number, since it is smaller than the sum of its proper divisors (281173390336).

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

136237572864 is an frugal number, since it uses more digits than its factorization.

136237572864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5739 (or 5707 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 136237572864 in words is "one hundred thirty-six billion, two hundred thirty-seven million, five hundred seventy-two thousand, eight hundred sixty-four".