136574532864 has 720 divisors, whose sum is σ = 529946081280. Its totient is φ = 33922437120.

The previous prime is 136574532863. The next prime is 136574532877. The reversal of 136574532864 is 468235475631.

136574532864 is a `hidden beast` number, since 1 + 3 + 6 + 574 + 5 + 3 + 2 + 8 + 64 = 666.

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 136574532864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136574532863) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36721597 + ... + 36725315.

It is an arithmetic number, because the mean of its divisors is an integer number (736036224).

Almost surely, 2^136574532864 is an apocalyptic number.

136574532864 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 136574532864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264973040640).

136574532864 is an abundant number, since it is smaller than the sum of its proper divisors (393371548416).

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

136574532864 is a wasteful number, since it uses less digits than its factorization.

136574532864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788 (or 3765 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 136574532864 in words is "one hundred thirty-six billion, five hundred seventy-four million, five hundred thirty-two thousand, eight hundred sixty-four".