132975 has 24 divisors (see below), whose sum is σ = 245520. Its totient is φ = 70560.

The previous prime is 132971. The next prime is 132989. The reversal of 132975 is 579231.

132975 is nontrivially palindromic in base 14.

132975 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 132975 - 2² = 132971 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

132975 is strictly pandigital in base 7.

132975 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132971) 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, 577 + ... + 773.

It is an arithmetic number, because the mean of its divisors is an integer number (10230).

2¹³²⁹⁷⁵ is an apocalyptic number.

132975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132975 is a deficient number, since it is larger than the sum of its proper divisors (112545).

132975 is a wasteful number, since it uses less digits than its factorization.

132975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 132975 is about 364.6573734343. The cubic root of 132975 is about 51.0414887309.

The spelling of 132975 in words is "one hundred thirty-two thousand, nine hundred seventy-five".