132244413144400 has 30 divisors (see below), whose sum is σ = 317717202580382. Its totient is φ = 52897765257600.

The previous prime is 132244413144391. The next prime is 132244413144433. The reversal of 132244413144400 is 4441314442231.

It can be written as a sum of positive squares in 3 ways, for example, as 31603870679824 + 100640542464576 = 5621732^2 + 10031976^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 132244413144400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 165305516031 + ... + 165305516830.

Almost surely, 2^{132244413144400} is an apocalyptic number.

132244413144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132244413144400 is an abundant number, since it is smaller than the sum of its proper divisors (185472789435982).

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

132244413144400 is a wasteful number, since it uses less digits than its factorization.

132244413144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330611032879 (or 330611032868 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 37.

Adding to 132244413144400 its reverse (4441314442231), we get a palindrome (136685727586631).

The spelling of 132244413144400 in words is "one hundred thirty-two trillion, two hundred forty-four billion, four hundred thirteen million, one hundred forty-four thousand, four hundred".