133302032 has 40 divisors (see below), whose sum is σ = 275948856. Its totient is φ = 62160896.

The previous prime is 133302007. The next prime is 133302047. The reversal of 133302032 is 230203331.

It can be written as a sum of positive squares in 4 ways, for example, as 2062096 + 131239936 = 1436^2 + 11456^2 .

It is a super-3 number, since 3×133302032³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 133302032.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28568 + ... + 32904.

Almost surely, 2^133302032 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 133302032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137974428).

133302032 is an abundant number, since it is smaller than the sum of its proper divisors (142646824).

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

133302032 is a wasteful number, since it uses less digits than its factorization.

133302032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4475 (or 4469 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 133302032 is about 11545.6499167435. The cubic root of 133302032 is about 510.8329742886.

Adding to 133302032 its reverse (230203331), we get a palindrome (363505363).

The spelling of 133302032 in words is "one hundred thirty-three million, three hundred two thousand, thirty-two".