133223200 has 72 divisors (see below), whose sum is σ = 354821040. Its totient is φ = 48441600.

The previous prime is 133223183. The next prime is 133223219. The reversal of 133223200 is 2322331.

133223200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1231 + ... + 16369.

It is an arithmetic number, because the mean of its divisors is an integer number (4928070).

Almost surely, 2^133223200 is an apocalyptic number.

133223200 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 133223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177410520).

133223200 is an abundant number, since it is smaller than the sum of its proper divisors (221597840).

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

133223200 is a wasteful number, since it uses less digits than its factorization.

133223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15170 (or 15157 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 133223200 is about 11542.2354853815. The cubic root of 133223200 is about 510.7322558292.

Adding to 133223200 its reverse (2322331), we get a palindrome (135545531).

The spelling of 133223200 in words is "one hundred thirty-three million, two hundred twenty-three thousand, two hundred".