133232800 has 36 divisors (see below), whose sum is σ = 325256526. Its totient is φ = 53292800.

The previous prime is 133232773. The next prime is 133232809. The reversal of 133232800 is 8232331.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 94245264 + 38987536 = 9708^2 + 6244^2 .

It is not an unprimeable number, because it can be changed into a prime (133232809) 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, 82471 + ... + 84070.

Almost surely, 2^133232800 is an apocalyptic number.

133232800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133232800 is an abundant number, since it is smaller than the sum of its proper divisors (192023726).

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

133232800 is a wasteful number, since it uses less digits than its factorization.

133232800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166561 (or 166548 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 133232800 is about 11542.6513418712. The cubic root of 133232800 is about 510.7445232418.

The spelling of 133232800 in words is "one hundred thirty-three million, two hundred thirty-two thousand, eight hundred".