133302096 has 120 divisors (see below), whose sum is σ = 390410280. Its totient is φ = 42405888.

The previous prime is 133302079. The next prime is 133302101. The reversal of 133302096 is 690203331.

It can be written as a sum of positive squares in 4 ways, for example, as 10890000 + 122412096 = 3300^2 + 11064^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 571996 + ... + 572228.

It is an arithmetic number, because the mean of its divisors is an integer number (3253419).

Almost surely, 2^133302096 is an apocalyptic number.

133302096 is a gapful number since it is divisible by the number (16) 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 133302096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195205140).

133302096 is an abundant number, since it is smaller than the sum of its proper divisors (257108184).

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

133302096 is a wasteful number, since it uses less digits than its factorization.

133302096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 133302096 is about 11545.6526883498. The cubic root of 133302096 is about 510.8330560411.

The spelling of 133302096 in words is "one hundred thirty-three million, three hundred two thousand, ninety-six".