133207200 has 288 divisors, whose sum is σ = 551214720. Its totient is φ = 30412800.

The previous prime is 133207199. The next prime is 133207213. The reversal of 133207200 is 2702331.

133207200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150760 + ... + 151640.

It is an arithmetic number, because the mean of its divisors is an integer number (1913940).

Almost surely, 2^133207200 is an apocalyptic number.

133207200 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 133207200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275607360).

133207200 is an abundant number, since it is smaller than the sum of its proper divisors (418007520).

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

133207200 is a wasteful number, since it uses less digits than its factorization.

133207200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 133207200 is about 11541.5423579347. The cubic root of 133207200 is about 510.7118088318.

Adding to 133207200 its reverse (2702331), we get a palindrome (135909531).

The spelling of 133207200 in words is "one hundred thirty-three million, two hundred seven thousand, two hundred".