132648 has 16 divisors (see below), whose sum is σ = 331680. Its totient is φ = 44208.

The previous prime is 132647. The next prime is 132661. The reversal of 132648 is 846231.

It is a happy number.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 5527 = 132648 / (1 + 3 + 2 + 6 + 4 + 8).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 1 + 3 + 6² + 2¹⁷ + 4⁵ + 8³ .

It is one of the 548 Lynch-Bell numbers.

It is not an unprimeable number, because it can be changed into a prime (132647) 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 in 3 ways as a sum of consecutive naturals, for example, 2740 + ... + 2787.

It is an arithmetic number, because the mean of its divisors is an integer number (20730).

2¹³²⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

132648 is an abundant number, since it is smaller than the sum of its proper divisors (199032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132648 is a wasteful number, since it uses less digits than its factorization.

132648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5536 (or 5532 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 132648 is about 364.2087313616. The cubic root of 132648 is about 50.9996155296. Note that the first 3 decimals are identical.

Adding to 132648 its reverse (846231), we get a palindrome (978879).

It can be divided in two parts, 132 and 648, that added together give a triangular number (780 = T₃₉).

The spelling of 132648 in words is "one hundred thirty-two thousand, six hundred forty-eight".