133122400 has 36 divisors (see below), whose sum is σ = 324987012. Its totient is φ = 53248640.

The previous prime is 133122397. The next prime is 133122433. The reversal of 133122400 is 4221331.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 82402 + ... + 84001.

It is an arithmetic number, because the mean of its divisors is an integer number (9027417).

Almost surely, 2^133122400 is an apocalyptic number.

133122400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133122400 is an abundant number, since it is smaller than the sum of its proper divisors (191864612).

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

133122400 is a wasteful number, since it uses less digits than its factorization.

133122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166423 (or 166410 counting only the distinct ones).

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

The square root of 133122400 is about 11537.8680873028. The cubic root of 133122400 is about 510.6034124020.

Adding to 133122400 its reverse (4221331), we get a palindrome (137343731).

The spelling of 133122400 in words is "one hundred thirty-three million, one hundred twenty-two thousand, four hundred".