131705303546880 has 704 divisors, whose sum is σ = 535032029076480. Its totient is φ = 30097885298688.

The previous prime is 131705303546863. The next prime is 131705303546897. The reversal of 131705303546880 is 88645303507131.

131705303546880 is a `hidden beast` number, since 1 + 3 + 1 + 70 + 5 + 3 + 0 + 35 + 468 + 80 = 666.

131705303546880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (131705303546863) and next prime (131705303546897).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6074116519 + ... + 6074138201.

Almost surely, 2^{131705303546880} is an apocalyptic number.

131705303546880 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 131705303546880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267516014538240).

131705303546880 is an abundant number, since it is smaller than the sum of its proper divisors (403326725529600).

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

131705303546880 is a wasteful number, since it uses less digits than its factorization.

131705303546880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28001 (or 27977 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 131705303546880 in words is "one hundred thirty-one trillion, seven hundred five billion, three hundred three million, five hundred forty-six thousand, eight hundred eighty".