133321200 has 120 divisors (see below), whose sum is σ = 429774576. Its totient is φ = 35328000.

The previous prime is 133321193. The next prime is 133321211. The reversal of 133321200 is 2123331.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 133321200.

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, 288970 + ... + 289430.

Almost surely, 2^133321200 is an apocalyptic number.

133321200 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 133321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214887288).

133321200 is an abundant number, since it is smaller than the sum of its proper divisors (296453376).

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

133321200 is a wasteful number, since it uses less digits than its factorization.

133321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 133321200 is about 11546.4799830944. The cubic root of 133321200 is about 510.8574579793.

Adding to 133321200 its reverse (2123331), we get a palindrome (135444531).

The spelling of 133321200 in words is "one hundred thirty-three million, three hundred twenty-one thousand, two hundred".