133129200 has 120 divisors (see below), whose sum is σ = 448979200. Its totient is φ = 33626880.

The previous prime is 133129187. The next prime is 133129223. The reversal of 133129200 is 2921331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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, 19881 + ... + 25719.

Almost surely, 2^133129200 is an apocalyptic number.

133129200 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 133129200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224489600).

133129200 is an abundant number, since it is smaller than the sum of its proper divisors (315850000).

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

133129200 is a wasteful number, since it uses less digits than its factorization.

133129200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5879 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 133129200 is about 11538.1627653626. The cubic root of 133129200 is about 510.6121062659.

It can be divided in two parts, 13 and 3129200, that added together give a palindrome (3129213).

The spelling of 133129200 in words is "one hundred thirty-three million, one hundred twenty-nine thousand, two hundred".