133974400 has 96 divisors (see below), whose sum is σ = 378301680. Its totient is φ = 45926400.

The previous prime is 133974397. The next prime is 133974413. The reversal of 133974400 is 4479331.

It is a congruent number.

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, 19410 + ... + 25390.

Almost surely, 2^133974400 is an apocalyptic number.

133974400 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 133974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189150840).

133974400 is an abundant number, since it is smaller than the sum of its proper divisors (244327280).

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

133974400 is an equidigital number, since it uses as much as digits as its factorization.

133974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6012 (or 5995 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 133974400 is about 11574.7310983884. The cubic root of 133974400 is about 511.6904052808.

The spelling of 133974400 in words is "one hundred thirty-three million, nine hundred seventy-four thousand, four hundred".