133891200 has 144 divisors (see below), whose sum is σ = 477857250. Its totient is φ = 35696640.

The previous prime is 133891193. The next prime is 133891229. The reversal of 133891200 is 2198331.

It can be written as a sum of positive squares in 3 ways, for example, as 127780416 + 6110784 = 11304^2 + 2472^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26476 + ... + 31124.

Almost surely, 2^133891200 is an apocalyptic number.

133891200 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 133891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238928625).

133891200 is an abundant number, since it is smaller than the sum of its proper divisors (343966050).

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

133891200 is a wasteful number, since it uses less digits than its factorization.

133891200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4679 (or 4659 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 133891200 is about 11571.1365042506. The cubic root of 133891200 is about 511.5844610171.

The spelling of 133891200 in words is "one hundred thirty-three million, eight hundred ninety-one thousand, two hundred".