133221202400 has 144 divisors (see below), whose sum is σ = 382084326288. Its totient is φ = 44717568000.

The previous prime is 133221202399. The next prime is 133221202441. The reversal of 133221202400 is 4202122331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 467861 + ... + 696660.

It is an arithmetic number, because the mean of its divisors is an integer number (2653363377).

Almost surely, 2^133221202400 is an apocalyptic number.

133221202400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133221202400 is an abundant number, since it is smaller than the sum of its proper divisors (248863123888).

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

133221202400 is a wasteful number, since it uses less digits than its factorization.

133221202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164565 (or 1164552 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 133221202400 its reverse (4202122331), we get a palindrome (137423324731).

The spelling of 133221202400 in words is "one hundred thirty-three billion, two hundred twenty-one million, two hundred two thousand, four hundred".