131720232000 has 448 divisors, whose sum is σ = 507250598400. Its totient is φ = 30105600000.

The previous prime is 131720231989. The next prime is 131720232187. The reversal of 131720232000 is 232027131.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8224000 + ... + 8240000.

It is an arithmetic number, because the mean of its divisors is an integer number (1132255800).

Almost surely, 2^131720232000 is an apocalyptic number.

131720232000 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 131720232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253625299200).

131720232000 is an abundant number, since it is smaller than the sum of its proper divisors (375530366400).

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

131720232000 is an equidigital number, since it uses as much as digits as its factorization.

131720232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16052 (or 16018 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

Adding to 131720232000 its reverse (232027131), we get a palindrome (131952259131).

The spelling of 131720232000 in words is "one hundred thirty-one billion, seven hundred twenty million, two hundred thirty-two thousand".