132561 has 24 divisors (see below), whose sum is σ = 227136. Its totient is φ = 73440.

The previous prime is 132547. The next prime is 132589. The reversal of 132561 is 165231.

It is not a de Polignac number, because 132561 - 2⁵ = 132529 is a prime.

It is a Curzon number.

132561 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (132511) 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 in 23 ways as a sum of consecutive naturals, for example, 1236 + ... + 1338.

It is an arithmetic number, because the mean of its divisors is an integer number (9464).

2¹³²⁵⁶¹ is an apocalyptic number.

132561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132561 is a deficient number, since it is larger than the sum of its proper divisors (94575).

132561 is a wasteful number, since it uses less digits than its factorization.

132561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 130 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 132561 is about 364.0892747665. The cubic root of 132561 is about 50.9884633651.

Adding to 132561 its reverse (165231), we get a palindrome (297792).

The spelling of 132561 in words is "one hundred thirty-two thousand, five hundred sixty-one".