133358400 has 504 divisors, whose sum is σ = 573227200. Its totient is φ = 30481920.

The previous prime is 133358389. The next prime is 133358429. The reversal of 133358400 is 4853331.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19051197 + ... + 19051203.

Almost surely, 2^133358400 is an apocalyptic number.

133358400 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 133358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286613600).

133358400 is an abundant number, since it is smaller than the sum of its proper divisors (439868800).

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

133358400 is an frugal number, since it uses more digits than its factorization.

133358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 133358400 is about 11548.0907512887. The cubic root of 133358400 is about 510.9049676282.

The spelling of 133358400 in words is "one hundred thirty-three million, three hundred fifty-eight thousand, four hundred".