132320100314400 has 144 divisors (see below), whose sum is σ = 432417872422368. Its totient is φ = 35144780800000.

The previous prime is 132320100314371. The next prime is 132320100314419. The reversal of 132320100314400 is 4413001023231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109225041 + ... + 110429840.

It is an arithmetic number, because the mean of its divisors is an integer number (3002901891822).

Almost surely, 2^{132320100314400} is an apocalyptic number.

132320100314400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132320100314400 is an abundant number, since it is smaller than the sum of its proper divisors (300097772107968).

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

132320100314400 is a wasteful number, since it uses less digits than its factorization.

132320100314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219655155 (or 219655142 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 132320100314400 its reverse (4413001023231), we get a palindrome (136733101337631).

The spelling of 132320100314400 in words is "one hundred thirty-two trillion, three hundred twenty billion, one hundred million, three hundred fourteen thousand, four hundred".