133015200 has 144 divisors (see below), whose sum is σ = 455908320. Its totient is φ = 33592320.

The previous prime is 133015189. The next prime is 133015229. The reversal of 133015200 is 2510331.

It is a happy number.

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 133015200.

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, 44142 + ... + 47058.

It is an arithmetic number, because the mean of its divisors is an integer number (3166030).

Almost surely, 2^133015200 is an apocalyptic number.

133015200 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 133015200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227954160).

133015200 is an abundant number, since it is smaller than the sum of its proper divisors (322893120).

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

133015200 is a wasteful number, since it uses less digits than its factorization.

133015200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 133015200 is about 11533.2215794200. The cubic root of 133015200 is about 510.4663170545.

Adding to 133015200 its reverse (2510331), we get a palindrome (135525531).

The spelling of 133015200 in words is "one hundred thirty-three million, fifteen thousand, two hundred".