133660800 has 768 divisors, whose sum is σ = 637459200. Its totient is φ = 26542080.

The previous prime is 133660759. The next prime is 133660829. The reversal of 133660800 is 8066331.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7862392 + ... + 7862408.

It is an arithmetic number, because the mean of its divisors is an integer number (830025).

Almost surely, 2^133660800 is an apocalyptic number.

133660800 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 133660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318729600).

133660800 is an abundant number, since it is smaller than the sum of its proper divisors (503798400).

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

133660800 is a wasteful number, since it uses less digits than its factorization.

133660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 133660800 is about 11561.1764107291. The cubic root of 133660800 is about 511.2908476598.

The spelling of 133660800 in words is "one hundred thirty-three million, six hundred sixty thousand, eight hundred".