133204400 has 120 divisors (see below), whose sum is σ = 369854304. Its totient is φ = 45158400.

The previous prime is 133204399. The next prime is 133204417. The reversal of 133204400 is 4402331.

133204400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316190 + ... + 316610.

Almost surely, 2^133204400 is an apocalyptic number.

133204400 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 133204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184927152).

133204400 is an abundant number, since it is smaller than the sum of its proper divisors (236649904).

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

133204400 is a wasteful number, since it uses less digits than its factorization.

133204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 133204400 is about 11541.4210563518. The cubic root of 133204400 is about 510.7082304390.

Adding to 133204400 its reverse (4402331), we get a palindrome (137606731).

The spelling of 133204400 in words is "one hundred thirty-three million, two hundred four thousand, four hundred".