132757 has 2 divisors, whose sum is σ = 132758. Its totient is φ = 132756.

The previous prime is 132751. The next prime is 132761. The reversal of 132757 is 757231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70756 + 62001 = 266^2 + 249^2 .

It is a cyclic number.

It is not a de Polignac number, because 132757 - 2³ = 132749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (132751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66378 + 66379.

It is an arithmetic number, because the mean of its divisors is an integer number (66379).

2¹³²⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

132757 is a deficient number, since it is larger than the sum of its proper divisors (1).

132757 is an equidigital number, since it uses as much as digits as its factorization.

132757 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1470, while the sum is 25.

The square root of 132757 is about 364.3583400994. The cubic root of 132757 is about 51.0135809020.

Adding to 132757 its reverse (757231), we get a palindrome (889988).

The spelling of 132757 in words is "one hundred thirty-two thousand, seven hundred fifty-seven".