132144320 has 224 divisors, whose sum is σ = 407310336. Its totient is φ = 39628800.

The previous prime is 132144293. The next prime is 132144371. The reversal of 132144320 is 23441231.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 132144292 and 132144301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 763754 + ... + 763926.

Almost surely, 2^132144320 is an apocalyptic number.

132144320 is a gapful number since it is divisible by the number (10) 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 132144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203655168).

132144320 is an abundant number, since it is smaller than the sum of its proper divisors (275166016).

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

132144320 is a wasteful number, since it uses less digits than its factorization.

132144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 132144320 is about 11495.4042991101. The cubic root of 132144320 is about 509.3498314938.

Adding to 132144320 its reverse (23441231), we get a palindrome (155585551).

The spelling of 132144320 in words is "one hundred thirty-two million, one hundred forty-four thousand, three hundred twenty".