131715305543680 has 192 divisors, whose sum is σ = 324901490135040. Its totient is φ = 51223621632000.

The previous prime is 131715305543671. The next prime is 131715305543687. The reversal of 131715305543680 is 86345503517131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131715305543687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71767065 + ... + 73579495.

It is an arithmetic number, because the mean of its divisors is an integer number (1692195261120).

Almost surely, 2^{131715305543680} is an apocalyptic number.

131715305543680 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 131715305543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162450745067520).

131715305543680 is an abundant number, since it is smaller than the sum of its proper divisors (193186184591360).

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

131715305543680 is a wasteful number, since it uses less digits than its factorization.

131715305543680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812656 (or 1812636 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 52.

The spelling of 131715305543680 in words is "one hundred thirty-one trillion, seven hundred fifteen billion, three hundred five million, five hundred forty-three thousand, six hundred eighty".