132410320 has 160 divisors (see below), whose sum is σ = 369976320. Its totient is φ = 43130880.

The previous prime is 132410231. The next prime is 132410347. The reversal of 132410320 is 23014231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 132410294 and 132410303.

It is a congruent number.

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, 1676041 + ... + 1676119.

It is an arithmetic number, because the mean of its divisors is an integer number (2312352).

Almost surely, 2^132410320 is an apocalyptic number.

132410320 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 132410320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184988160).

132410320 is an abundant number, since it is smaller than the sum of its proper divisors (237566000).

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

132410320 is a wasteful number, since it uses less digits than its factorization.

132410320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 132410320 is about 11506.9683235855. The cubic root of 132410320 is about 509.6913677958.

Adding to 132410320 its reverse (23014231), we get a palindrome (155424551).

The spelling of 132410320 in words is "one hundred thirty-two million, four hundred ten thousand, three hundred twenty".