133111200 has 144 divisors (see below), whose sum is σ = 445284000. Its totient is φ = 34513920.

The previous prime is 133111177. The next prime is 133111213. The reversal of 133111200 is 2111331.

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

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, 88051 + ... + 89549.

It is an arithmetic number, because the mean of its divisors is an integer number (3092250).

Almost surely, 2^133111200 is an apocalyptic number.

133111200 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 133111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222642000).

133111200 is an abundant number, since it is smaller than the sum of its proper divisors (312172800).

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

133111200 is a wasteful number, since it uses less digits than its factorization.

133111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 133111200 is about 11537.3827187972. The cubic root of 133111200 is about 510.5890924514.

Adding to 133111200 its reverse (2111331), we get a palindrome (135222531).

The spelling of 133111200 in words is "one hundred thirty-three million, one hundred eleven thousand, two hundred".