133033200 has 120 divisors (see below), whose sum is σ = 433603200. Its totient is φ = 34855680.

The previous prime is 133033189. The next prime is 133033213. The reversal of 133033200 is 2330331.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 133033200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69861 + ... + 71739.

It is an arithmetic number, because the mean of its divisors is an integer number (3613360).

Almost surely, 2^133033200 is an apocalyptic number.

133033200 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 133033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216801600).

133033200 is an abundant number, since it is smaller than the sum of its proper divisors (300570000).

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

133033200 is a wasteful number, since it uses less digits than its factorization.

133033200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 133033200 is about 11534.0019074040. The cubic root of 133033200 is about 510.4893419401.

Adding to 133033200 its reverse (2330331), we get a palindrome (135363531).

The spelling of 133033200 in words is "one hundred thirty-three million, thirty-three thousand, two hundred".