133324400 has 120 divisors (see below), whose sum is σ = 353478864. Its totient is φ = 47923200.

The previous prime is 133324379. The next prime is 133324417. The reversal of 133324400 is 4423331.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 690704 + ... + 690896.

Almost surely, 2^133324400 is an apocalyptic number.

133324400 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 133324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176739432).

133324400 is an abundant number, since it is smaller than the sum of its proper divisors (220154464).

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

133324400 is a wasteful number, since it uses less digits than its factorization.

133324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 133324400 is about 11546.6185526326. The cubic root of 133324400 is about 510.8615451782.

Adding to 133324400 its reverse (4423331), we get a palindrome (137747731).

The spelling of 133324400 in words is "one hundred thirty-three million, three hundred twenty-four thousand, four hundred".