133386800 has 90 divisors (see below), whose sum is σ = 332087004. Its totient is φ = 51484800.

The previous prime is 133386797. The next prime is 133386829. The reversal of 133386800 is 8683331.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 384227 + ... + 384573.

Almost surely, 2^133386800 is an apocalyptic number.

133386800 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 133386800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166043502).

133386800 is an abundant number, since it is smaller than the sum of its proper divisors (198700204).

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

133386800 is a wasteful number, since it uses less digits than its factorization.

133386800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 133386800 is about 11549.3203263222. The cubic root of 133386800 is about 510.9412324884.

The spelling of 133386800 in words is "one hundred thirty-three million, three hundred eighty-six thousand, eight hundred".