132815 has 8 divisors (see below), whose sum is σ = 161568. Its totient is φ = 104800.

The previous prime is 132763. The next prime is 132817. The reversal of 132815 is 518231.

132815 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 132815 - 2⁶ = 132751 is a prime.

It is a super-3 number, since 3×132815³ = 7028499763330125, which contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132817) 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, 374 + ... + 636.

It is an arithmetic number, because the mean of its divisors is an integer number (20196).

2¹³²⁸¹⁵ is an apocalyptic number.

132815 is a deficient number, since it is larger than the sum of its proper divisors (28753).

132815 is a wasteful number, since it uses less digits than its factorization.

132815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369.

The product of its digits is 240, while the sum is 20.

The square root of 132815 is about 364.4379233834. The cubic root of 132815 is about 51.0210089018.

The spelling of 132815 in words is "one hundred thirty-two thousand, eight hundred fifteen".