133324800 has 336 divisors, whose sum is σ = 520061952. Its totient is φ = 29491200.

The previous prime is 133324777. The next prime is 133324817. The reversal of 133324800 is 8423331.

133324800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

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, 4300785 + ... + 4300815.

Almost surely, 2^133324800 is an apocalyptic number.

133324800 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 133324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260030976).

133324800 is an abundant number, since it is smaller than the sum of its proper divisors (386737152).

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

133324800 is an equidigital number, since it uses as much as digits as its factorization.

133324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 133324800 is about 11546.6358737080. The cubic root of 133324800 is about 510.8620560735.

The spelling of 133324800 in words is "one hundred thirty-three million, three hundred twenty-four thousand, eight hundred".