132144325314400 has 108 divisors (see below), whose sum is σ = 375266286803268. Its totient is φ = 45306625808640.

The previous prime is 132144325314319. The next prime is 132144325314413. The reversal of 132144325314400 is 4413523441231.

It is a self number, because there is not a number n which added to its sum of digits gives 132144325314400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1685475154 + ... + 1685553553.

It is an arithmetic number, because the mean of its divisors is an integer number (3474687840771).

Almost surely, 2^{132144325314400} is an apocalyptic number.

132144325314400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132144325314400 is an abundant number, since it is smaller than the sum of its proper divisors (243121961488868).

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

132144325314400 is a wasteful number, since it uses less digits than its factorization.

132144325314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371028741 (or 3371028721 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

Adding to 132144325314400 its reverse (4413523441231), we get a palindrome (136557848755631).

The spelling of 132144325314400 in words is "one hundred thirty-two trillion, one hundred forty-four billion, three hundred twenty-five million, three hundred fourteen thousand, four hundred".