133196304 has 80 divisors (see below), whose sum is σ = 359798400. Its totient is φ = 42405888.

The previous prime is 133196267. The next prime is 133196317. The reversal of 133196304 is 403691331.

133196304 = T₁ + T₂ + ... + T₉₂₇.

133196304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

133196304 is a nontrivial binomial coefficient, being equal to C(929, 3).

It is an unprimeable number.

It is the 927-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142912 + ... + 143840.

It is an arithmetic number, because the mean of its divisors is an integer number (4497480).

Almost surely, 2^133196304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133196304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179899200).

133196304 is an abundant number, since it is smaller than the sum of its proper divisors (226602096).

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

133196304 is a wasteful number, since it uses less digits than its factorization.

133196304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 133196304 is about 11541.0703143166. The cubic root of 133196304 is about 510.6978834894.

The spelling of 133196304 in words is "one hundred thirty-three million, one hundred ninety-six thousand, three hundred four".