136568800 has 36 divisors (see below), whose sum is σ = 333400536. Its totient is φ = 54627200.

The previous prime is 136568767. The next prime is 136568807. The reversal of 136568800 is 8865631.

136568800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 136568800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136568807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 84556 + ... + 86155.

It is an arithmetic number, because the mean of its divisors is an integer number (9261126).

Almost surely, 2^136568800 is an apocalyptic number.

136568800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136568800 is an abundant number, since it is smaller than the sum of its proper divisors (196831736).

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

136568800 is a wasteful number, since it uses less digits than its factorization.

136568800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170731 (or 170718 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 136568800 is about 11686.2654428179. The cubic root of 136568800 is about 514.9722547657.

The spelling of 136568800 in words is "one hundred thirty-six million, five hundred sixty-eight thousand, eight hundred".