133304400 has 120 divisors (see below), whose sum is σ = 474503360. Its totient is φ = 35544960.

The previous prime is 133304393. The next prime is 133304411. The reversal of 133304400 is 4403331.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4629 + ... + 16971.

Almost surely, 2^133304400 is an apocalyptic number.

133304400 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 133304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237251680).

133304400 is an abundant number, since it is smaller than the sum of its proper divisors (341198960).

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

133304400 is a wasteful number, since it uses less digits than its factorization.

133304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12370 (or 12353 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 133304400 is about 11545.7524657339. The cubic root of 133304400 is about 510.8359991120.

Adding to 133304400 its reverse (4403331), we get a palindrome (137707731).

The spelling of 133304400 in words is "one hundred thirty-three million, three hundred four thousand, four hundred".