132957 has 24 divisors (see below), whose sum is σ = 224640. Its totient is φ = 74880.

The previous prime is 132953. The next prime is 132961. The reversal of 132957 is 759231.

132957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132953) and next prime (132961).

It is not a de Polignac number, because 132957 - 2² = 132953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132953) 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, 1644 + ... + 1722.

It is an arithmetic number, because the mean of its divisors is an integer number (9360).

2¹³²⁹⁵⁷ is an apocalyptic number.

132957 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

132957 is a deficient number, since it is larger than the sum of its proper divisors (91683).

132957 is a wasteful number, since it uses less digits than its factorization.

132957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 110 counting only the distinct ones).

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

The square root of 132957 is about 364.6326918969. The cubic root of 132957 is about 51.0391855705.

It can be divided in two parts, 132 and 957, that added together give a square (1089 = 33²).

The spelling of 132957 in words is "one hundred thirty-two thousand, nine hundred fifty-seven".