132593120 has 48 divisors (see below), whose sum is σ = 341733168. Its totient is φ = 48215040.

The previous prime is 132593117. The next prime is 132593129. The reversal of 132593120 is 21395231.

It is a super-3 number, since 3×132593120³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132593120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132593129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35909 + ... + 39428.

It is an arithmetic number, because the mean of its divisors is an integer number (7119441).

Almost surely, 2^132593120 is an apocalyptic number.

132593120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132593120 is an abundant number, since it is smaller than the sum of its proper divisors (209140048).

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

132593120 is a wasteful number, since it uses less digits than its factorization.

132593120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75363 (or 75355 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 132593120 is about 11514.9085971188. The cubic root of 132593120 is about 509.9258126101.

The spelling of 132593120 in words is "one hundred thirty-two million, five hundred ninety-three thousand, one hundred twenty".