136692864 has 384 divisors, whose sum is σ = 519367680. Its totient is φ = 33454080.

The previous prime is 136692833. The next prime is 136692889. The reversal of 136692864 is 468296631.

136692864 is a `hidden beast` number, since 1 + 366 + 9 + 286 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (373248) is a multiple of the sum of its prime factors (128).

It is a congruent number.

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, 2040159 + ... + 2040225.

It is an arithmetic number, because the mean of its divisors is an integer number (1352520).

Almost surely, 2^136692864 is an apocalyptic number.

136692864 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 136692864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259683840).

136692864 is an abundant number, since it is smaller than the sum of its proper divisors (382674816).

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

136692864 is a wasteful number, since it uses less digits than its factorization.

136692864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 113 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 136692864 is about 11691.5723493463. The cubic root of 136692864 is about 515.1281473294.

The spelling of 136692864 in words is "one hundred thirty-six million, six hundred ninety-two thousand, eight hundred sixty-four".