132509 has 4 divisors (see below), whose sum is σ = 142716. Its totient is φ = 122304.

The previous prime is 132499. The next prime is 132511. The reversal of 132509 is 905231.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 905231 = 31 ⋅29201.

It can be written as a sum of positive squares in 2 ways, for example, as 55225 + 77284 = 235^2 + 278^2 .

It is not a de Polignac number, because 132509 - 2¹² = 128413 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 132509.

It is not an unprimeable number, because it can be changed into a prime (132529) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5084 + ... + 5109.

It is an arithmetic number, because the mean of its divisors is an integer number (35679).

2¹³²⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

132509 is a deficient number, since it is larger than the sum of its proper divisors (10207).

132509 is a wasteful number, since it uses less digits than its factorization.

132509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10206.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 132509 is about 364.0178567049. The cubic root of 132509 is about 50.9817953736.

The spelling of 132509 in words is "one hundred thirty-two thousand, five hundred nine".