133315728 has 160 divisors (see below), whose sum is σ = 442638336. Its totient is φ = 33606144.

The previous prime is 133315709. The next prime is 133315769. The reversal of 133315728 is 827513331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99801 + ... + 101127.

Almost surely, 2^133315728 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 133315728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221319168).

133315728 is an abundant number, since it is smaller than the sum of its proper divisors (309322608).

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

133315728 is a wasteful number, since it uses less digits than its factorization.

133315728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1375 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 133315728 is about 11546.2430253308. The cubic root of 133315728 is about 510.8504687177.

The spelling of 133315728 in words is "one hundred thirty-three million, three hundred fifteen thousand, seven hundred twenty-eight".