132048144 has 70 divisors (see below), whose sum is σ = 383623326. Its totient is φ = 44012160.

The previous prime is 132048109. The next prime is 132048149. The reversal of 132048144 is 441840231.

It can be written as a sum of positive squares in only one way, i.e., 84272400 + 47775744 = 9180^2 + 6912^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132048149) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 6004 + ... + 17324.

Almost surely, 2^132048144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132048144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191811663).

132048144 is an abundant number, since it is smaller than the sum of its proper divisors (251575182).

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

132048144 is an equidigital number, since it uses as much as digits as its factorization.

132048144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11347 (or 11326 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 132048144 is about 11491.2203007339. The cubic root of 132048144 is about 509.2262314817.

Adding to 132048144 its reverse (441840231), we get a palindrome (573888375).

The spelling of 132048144 in words is "one hundred thirty-two million, forty-eight thousand, one hundred forty-four".