133114200 has 96 divisors (see below), whose sum is σ = 419534160. Its totient is φ = 34905600.

The previous prime is 133114169. The next prime is 133114229. The reversal of 133114200 is 2411331.

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 133114200.

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, 34782 + ... + 38418.

Almost surely, 2^133114200 is an apocalyptic number.

133114200 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 133114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209767080).

133114200 is an abundant number, since it is smaller than the sum of its proper divisors (286419960).

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

133114200 is a wasteful number, since it uses less digits than its factorization.

133114200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3717 (or 3708 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 133114200 is about 11537.5127302205. The cubic root of 133114200 is about 510.5929282312.

Adding to 133114200 its reverse (2411331), we get a palindrome (135525531).

The spelling of 133114200 in words is "one hundred thirty-three million, one hundred fourteen thousand, two hundred".