131717752320 has 960 divisors, whose sum is σ = 554972622336. Its totient is φ = 25887375360.

The previous prime is 131717752307. The next prime is 131717752321. The reversal of 131717752320 is 23257717131.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131717752321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 213480652 + ... + 213481268.

Almost surely, 2^131717752320 is an apocalyptic number.

131717752320 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 131717752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277486311168).

131717752320 is an abundant number, since it is smaller than the sum of its proper divisors (423254870016).

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

131717752320 is a wasteful number, since it uses less digits than its factorization.

131717752320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 39.

The spelling of 131717752320 in words is "one hundred thirty-one billion, seven hundred seventeen million, seven hundred fifty-two thousand, three hundred twenty".