133232400 has 360 divisors, whose sum is σ = 561285504. Its totient is φ = 28569600.

The previous prime is 133232387. The next prime is 133232419. The reversal of 133232400 is 4232331.

133232400 is a `hidden beast` number, since 1 + 33 + 232 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 428245 + ... + 428555.

Almost surely, 2^133232400 is an apocalyptic number.

133232400 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 133232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280642752).

133232400 is an abundant number, since it is smaller than the sum of its proper divisors (428053104).

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

133232400 is a wasteful number, since it uses less digits than its factorization.

133232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 345 counting only the distinct ones).

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

The square root of 133232400 is about 11542.6340148165. The cubic root of 133232400 is about 510.7440121114.

Adding to 133232400 its reverse (4232331), we get a palindrome (137464731).

The spelling of 133232400 in words is "one hundred thirty-three million, two hundred thirty-two thousand, four hundred".