133254400 has 108 divisors (see below), whose sum is σ = 337603392. Its totient is φ = 52049920.

The previous prime is 133254389. The next prime is 133254403. The reversal of 133254400 is 4452331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133254403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 300579 + ... + 301021.

Almost surely, 2^133254400 is an apocalyptic number.

133254400 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 133254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168801696).

133254400 is an abundant number, since it is smaller than the sum of its proper divisors (204348992).

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

133254400 is an equidigital number, since it uses as much as digits as its factorization.

133254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 133254400 is about 11543.5869641979. The cubic root of 133254400 is about 510.7721227658.

The spelling of 133254400 in words is "one hundred thirty-three million, two hundred fifty-four thousand, four hundred".