133825200 has 60 divisors (see below), whose sum is σ = 428690568. Its totient is φ = 35686400.

The previous prime is 133825193. The next prime is 133825213. The reversal of 133825200 is 2528331.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 54561 + ... + 56960.

Almost surely, 2^133825200 is an apocalyptic number.

133825200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133825200 is an abundant number, since it is smaller than the sum of its proper divisors (294865368).

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

133825200 is a wasteful number, since it uses less digits than its factorization.

133825200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111542 (or 111531 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 133825200 is about 11568.2842288734. The cubic root of 133825200 is about 511.5003874711.

The spelling of 133825200 in words is "one hundred thirty-three million, eight hundred twenty-five thousand, two hundred".