133412200 has 48 divisors (see below), whose sum is σ = 312480000. Its totient is φ = 52969920.

The previous prime is 133412161. The next prime is 133412231. The reversal of 133412200 is 2214331.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25401 + ... + 30199.

It is an arithmetic number, because the mean of its divisors is an integer number (6510000).

Almost surely, 2^133412200 is an apocalyptic number.

133412200 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 133412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240000).

133412200 is an abundant number, since it is smaller than the sum of its proper divisors (179067800).

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

133412200 is a wasteful number, since it uses less digits than its factorization.

133412200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4954 (or 4945 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 133412200 is about 11550.4199057870. The cubic root of 133412200 is about 510.9736621931.

Adding to 133412200 its reverse (2214331), we get a palindrome (135626531).

The spelling of 133412200 in words is "one hundred thirty-three million, four hundred twelve thousand, two hundred".