132815120 has 20 divisors (see below), whose sum is σ = 308795340. Its totient is φ = 53126016.

The previous prime is 132815107. The next prime is 132815143. The reversal of 132815120 is 21518231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 49056016 + 83759104 = 7004^2 + 9152^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×132815120² = 35279712201228800, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 830015 + ... + 830174.

It is an arithmetic number, because the mean of its divisors is an integer number (15439767).

Almost surely, 2^132815120 is an apocalyptic number.

132815120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132815120 is an abundant number, since it is smaller than the sum of its proper divisors (175980220).

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

132815120 is a wasteful number, since it uses less digits than its factorization.

132815120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660202 (or 1660196 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 132815120 is about 11524.5442426154. The cubic root of 132815120 is about 510.2102426780.

The spelling of 132815120 in words is "one hundred thirty-two million, eight hundred fifteen thousand, one hundred twenty".