133221200 has 120 divisors (see below), whose sum is σ = 373636800. Its totient is φ = 45628800.

The previous prime is 133221173. The next prime is 133221271. The reversal of 133221200 is 2122331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 136715 + ... + 137685.

It is an arithmetic number, because the mean of its divisors is an integer number (3113640).

Almost surely, 2^133221200 is an apocalyptic number.

133221200 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 133221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186818400).

133221200 is an abundant number, since it is smaller than the sum of its proper divisors (240415600).

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

133221200 is an equidigital number, since it uses as much as digits as its factorization.

133221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 133221200 is about 11542.1488467269. The cubic root of 133221200 is about 510.7297000440.

Adding to 133221200 its reverse (2122331), we get a palindrome (135343531).

The spelling of 133221200 in words is "one hundred thirty-three million, two hundred twenty-one thousand, two hundred".