136132800 has 168 divisors, whose sum is σ = 453542400. Its totient is φ = 35742720.

The previous prime is 136132793. The next prime is 136132817. The reversal of 136132800 is 8231631.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379021 + ... + 379379.

Almost surely, 2^136132800 is an apocalyptic number.

136132800 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 136132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226771200).

136132800 is an abundant number, since it is smaller than the sum of its proper divisors (317409600).

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

136132800 is a wasteful number, since it uses less digits than its factorization.

136132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 136132800 is about 11667.5961534499. The cubic root of 136132800 is about 514.4236490687.

The spelling of 136132800 in words is "one hundred thirty-six million, one hundred thirty-two thousand, eight hundred".