131683751844480 has 1024 divisors, whose sum is σ = 526640237568000. Its totient is φ = 30803907133440.

The previous prime is 131683751844467. The next prime is 131683751844497. The reversal of 131683751844480 is 84448157386131.

131683751844480 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 8 + 3 + 7 + 5 + 184 + 448 + 0 = 666.

It is a super-2 number, since 2×131683751844480² (a number of 29 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 10511987977 + ... + 10512000503.

It is an arithmetic number, because the mean of its divisors is an integer number (514297107000).

Almost surely, 2^{131683751844480} is an apocalyptic number.

131683751844480 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 131683751844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263320118784000).

131683751844480 is an abundant number, since it is smaller than the sum of its proper divisors (394956485723520).

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

131683751844480 is a wasteful number, since it uses less digits than its factorization.

131683751844480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14502 (or 14484 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 131683751844480 in words is "one hundred thirty-one trillion, six hundred eighty-three billion, seven hundred fifty-one million, eight hundred forty-four thousand, four hundred eighty".