133299200 has 132 divisors (see below), whose sum is σ = 341144832. Its totient is φ = 51609600.

The previous prime is 133299161. The next prime is 133299203. The reversal of 133299200 is 2992331.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133299203) 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, 1049537 + ... + 1049663.

Almost surely, 2^133299200 is an apocalyptic number.

133299200 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 133299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170572416).

133299200 is an abundant number, since it is smaller than the sum of its proper divisors (207845632).

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

133299200 is a wasteful number, since it uses less digits than its factorization.

133299200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 133299200 is about 11545.5272724982. The cubic root of 133299200 is about 510.8293567163.

The spelling of 133299200 in words is "one hundred thirty-three million, two hundred ninety-nine thousand, two hundred".