132675 has 24 divisors (see below), whose sum is σ = 230640. Its totient is φ = 67200.

The previous prime is 132667. The next prime is 132679. The reversal of 132675 is 576231.

It is not a de Polignac number, because 132675 - 2³ = 132667 is a prime.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (132679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2145 + ... + 2205.

It is an arithmetic number, because the mean of its divisors is an integer number (9610).

132675 is a Friedman number, since it can be written as 725*61*3, using all its digits and the basic arithmetic operations.

2¹³²⁶⁷⁵ is an apocalyptic number.

132675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132675 is a deficient number, since it is larger than the sum of its proper divisors (97965).

132675 is a wasteful number, since it uses less digits than its factorization.

132675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 98 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 132675 is about 364.2457961322. The cubic root of 132675 is about 51.0030755546.

Subtracting from 132675 its sum of digits (24), we obtain a cube (132651 = 51³).

Subtracting 132675 from its reverse (576231), we obtain a square (443556 = 666²).

The spelling of 132675 in words is "one hundred thirty-two thousand, six hundred seventy-five".