133253200 has 60 divisors (see below), whose sum is σ = 322711488. Its totient is φ = 52873600.

The previous prime is 133253189. The next prime is 133253201. The reversal of 133253200 is 2352331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133253201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51129 + ... + 53671.

Almost surely, 2^133253200 is an apocalyptic number.

133253200 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 133253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161355744).

133253200 is an abundant number, since it is smaller than the sum of its proper divisors (189458288).

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

133253200 is a wasteful number, since it uses less digits than its factorization.

133253200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2692 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 133253200 is about 11543.5349871692. The cubic root of 133253200 is about 510.7705895371.

The spelling of 133253200 in words is "one hundred thirty-three million, two hundred fifty-three thousand, two hundred".