133003200 has 252 divisors, whose sum is σ = 481731320. Its totient is φ = 32102400.

The previous prime is 133003187. The next prime is 133003207. The reversal of 133003200 is 2300331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133003207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 580686 + ... + 580914.

Almost surely, 2^133003200 is an apocalyptic number.

133003200 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 133003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240865660).

133003200 is an abundant number, since it is smaller than the sum of its proper divisors (348728120).

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

133003200 is a wasteful number, since it uses less digits than its factorization.

133003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 133003200 is about 11532.7013314314. The cubic root of 133003200 is about 510.4509659768.

Adding to 133003200 its reverse (2300331), we get a palindrome (135303531).

The spelling of 133003200 in words is "one hundred thirty-three million, three thousand, two hundred".