132038144 has 120 divisors (see below), whose sum is σ = 324209160. Its totient is φ = 53415936.

The previous prime is 132038129. The next prime is 132038161. The reversal of 132038144 is 441830231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 476534 + ... + 476810.

It is an arithmetic number, because the mean of its divisors is an integer number (2701743).

Almost surely, 2^132038144 is an apocalyptic number.

132038144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132038144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162104580).

132038144 is an abundant number, since it is smaller than the sum of its proper divisors (192171016).

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

132038144 is an equidigital number, since it uses as much as digits as its factorization.

132038144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 132038144 is about 11490.7851776978. The cubic root of 132038144 is about 509.2133765973.

Adding to 132038144 its reverse (441830231), we get a palindrome (573868375).

The spelling of 132038144 in words is "one hundred thirty-two million, thirty-eight thousand, one hundred forty-four".