131722567680 has 896 divisors, whose sum is σ = 507312046080. Its totient is φ = 28807004160.

The previous prime is 131722567643. The next prime is 131722567693. The reversal of 131722567680 is 86765227131.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 590684049 + ... + 590684271.

It is an arithmetic number, because the mean of its divisors is an integer number (566196480).

Almost surely, 2^131722567680 is an apocalyptic number.

131722567680 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 131722567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253656023040).

131722567680 is an abundant number, since it is smaller than the sum of its proper divisors (375589478400).

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

131722567680 is a wasteful number, since it uses less digits than its factorization.

131722567680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

It can be divided in two parts, 13172 and 2567680, that added together give a palindrome (2580852).

The spelling of 131722567680 in words is "one hundred thirty-one billion, seven hundred twenty-two million, five hundred sixty-seven thousand, six hundred eighty".