136564920 has 128 divisors (see below), whose sum is σ = 470016000. Its totient is φ = 35233920.

The previous prime is 136564903. The next prime is 136564921. The reversal of 136564920 is 29465631.

It is a happy number.

136564920 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 649 + 2 + 0 = 666.

136564920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136564921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31441 + ... + 35519.

It is an arithmetic number, because the mean of its divisors is an integer number (3672000).

Almost surely, 2^136564920 is an apocalyptic number.

136564920 is a gapful number since it is divisible by the number (10) 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 136564920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235008000).

136564920 is an abundant number, since it is smaller than the sum of its proper divisors (333451080).

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

136564920 is a wasteful number, since it uses less digits than its factorization.

136564920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 136564920 is about 11686.0994347986. The cubic root of 136564920 is about 514.9673778312.

The spelling of 136564920 in words is "one hundred thirty-six million, five hundred sixty-four thousand, nine hundred twenty".