136404864 has 128 divisors (see below), whose sum is σ = 416772000. Its totient is φ = 43868160.

The previous prime is 136404847. The next prime is 136404883. The reversal of 136404864 is 468404631.

136404864 is a `hidden beast` number, since 1 + 3 + 640 + 4 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99544 + ... + 100904.

Almost surely, 2^136404864 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 136404864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208386000).

136404864 is an abundant number, since it is smaller than the sum of its proper divisors (280367136).

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

136404864 is a wasteful number, since it uses less digits than its factorization.

136404864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 136404864 is about 11679.2492909433. The cubic root of 136404864 is about 514.7661161891.

The spelling of 136404864 in words is "one hundred thirty-six million, four hundred four thousand, eight hundred sixty-four".