132759 has 20 divisors (see below), whose sum is σ = 217800. Its totient is φ = 79920.

The previous prime is 132757. The next prime is 132761. The reversal of 132759 is 957231.

It is an interprime number because it is at equal distance from previous prime (132757) and next prime (132761).

It is not a de Polignac number, because 132759 - 2¹ = 132757 is a prime.

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

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132751) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 817 + ... + 965.

It is an arithmetic number, because the mean of its divisors is an integer number (10890).

2¹³²⁷⁵⁹ is an apocalyptic number.

132759 is a deficient number, since it is larger than the sum of its proper divisors (85041).

132759 is a wasteful number, since it uses less digits than its factorization.

132759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 163 counting only the distinct ones).

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

The square root of 132759 is about 364.3610846399. The cubic root of 132759 is about 51.0138370759.

It can be divided in two parts, 13 and 2759, that added together give a palindrome (2772).

The spelling of 132759 in words is "one hundred thirty-two thousand, seven hundred fifty-nine".