132137 has 2 divisors, whose sum is σ = 132138. Its totient is φ = 132136.

The previous prime is 132113. The next prime is 132151. The reversal of 132137 is 731231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87616 + 44521 = 296^2 + 211^2 .

It is a cyclic number.

It is not a de Polignac number, because 132137 - 2¹⁰ = 131113 is a prime.

It is not a weakly prime, because it can be changed into another prime (132157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66068 + 66069.

It is an arithmetic number, because the mean of its divisors is an integer number (66069).

2¹³²¹³⁷ is an apocalyptic number.

It is an amenable number.

132137 is a deficient number, since it is larger than the sum of its proper divisors (1).

132137 is an equidigital number, since it uses as much as digits as its factorization.

132137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 126, while the sum is 17.

The square root of 132137 is about 363.5065336414. The cubic root of 132137 is about 50.9340426348.

Adding to 132137 its reverse (731231), we get a palindrome (863368).

The spelling of 132137 in words is "one hundred thirty-two thousand, one hundred thirty-seven".