133403200 has 168 divisors, whose sum is σ = 385259072. Its totient is φ = 44513280.

The previous prime is 133403183. The next prime is 133403201. The reversal of 133403200 is 2304331.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (133403201) by changing a digit.

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, 481462 + ... + 481738.

Almost surely, 2^133403200 is an apocalyptic number.

133403200 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 133403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192629536).

133403200 is an abundant number, since it is smaller than the sum of its proper divisors (251855872).

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

133403200 is a wasteful number, since it uses less digits than its factorization.

133403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 133403200 is about 11550.0303029906. The cubic root of 133403200 is about 510.9621718238.

Adding to 133403200 its reverse (2304331), we get a palindrome (135707531).

The spelling of 133403200 in words is "one hundred thirty-three million, four hundred three thousand, two hundred".