133915200 has 168 divisors, whose sum is σ = 458833728. Its totient is φ = 34129920.

The previous prime is 133915183. The next prime is 133915213. The reversal of 133915200 is 2519331.

It is a happy number.

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

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109794 + ... + 111006.

Almost surely, 2^133915200 is an apocalyptic number.

133915200 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 133915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229416864).

133915200 is an abundant number, since it is smaller than the sum of its proper divisors (324918528).

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

133915200 is a wasteful number, since it uses less digits than its factorization.

133915200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 133915200 is about 11572.1735209942. The cubic root of 133915200 is about 511.6150263655.

The spelling of 133915200 in words is "one hundred thirty-three million, nine hundred fifteen thousand, two hundred".