133224400 has 60 divisors (see below), whose sum is σ = 324648864. Its totient is φ = 52528000.

The previous prime is 133224361. The next prime is 133224433. The reversal of 133224400 is 4422331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26055 + ... + 30745.

Almost surely, 2^133224400 is an apocalyptic number.

133224400 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 133224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162324432).

133224400 is an abundant number, since it is smaller than the sum of its proper divisors (191424464).

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

133224400 is a wasteful number, since it uses less digits than its factorization.

133224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4780 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 133224400 is about 11542.2874682621. The cubic root of 133224400 is about 510.7337892880.

Adding to 133224400 its reverse (4422331), we get a palindrome (137646731).

The spelling of 133224400 in words is "one hundred thirty-three million, two hundred twenty-four thousand, four hundred".