132244410400 has 72 divisors (see below), whose sum is σ = 323017333380. Its totient is φ = 52868981760.

The previous prime is 132244410341. The next prime is 132244410479. The reversal of 132244410400 is 4014442231.

132244410400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 79327849104 + 52916561296 = 281652^2 + 230036^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 1457566 + ... + 1545634.

Almost surely, 2^132244410400 is an apocalyptic number.

132244410400 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 132244410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161508666690).

132244410400 is an abundant number, since it is smaller than the sum of its proper divisors (190772922980).

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

132244410400 is a wasteful number, since it uses less digits than its factorization.

132244410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89966 (or 89953 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 132244410400 its reverse (4014442231), we get a palindrome (136258852631).

The spelling of 132244410400 in words is "one hundred thirty-two billion, two hundred forty-four million, four hundred ten thousand, four hundred".