132315144 has 64 divisors (see below), whose sum is σ = 357752640. Its totient is φ = 40538880.

The previous prime is 132315137. The next prime is 132315149. The reversal of 132315144 is 441513231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (132315149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85659 + ... + 87189.

It is an arithmetic number, because the mean of its divisors is an integer number (5589885).

Almost surely, 2^132315144 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 132315144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178876320).

132315144 is an abundant number, since it is smaller than the sum of its proper divisors (225437496).

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

132315144 is a wasteful number, since it uses less digits than its factorization.

132315144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1826 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 132315144 is about 11502.8319991209. The cubic root of 132315144 is about 509.5692171626.

Adding to 132315144 its reverse (441513231), we get a palindrome (573828375).

The spelling of 132315144 in words is "one hundred thirty-two million, three hundred fifteen thousand, one hundred forty-four".