131678643720 has 256 divisors, whose sum is σ = 438023900160. Its totient is φ = 31462566912.

The previous prime is 131678643709. The next prime is 131678643749. The reversal of 131678643720 is 27346876131.

It is a self number, because there is not a number n which added to its sum of digits gives 131678643720.

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, 10928019 + ... + 10940061.

It is an arithmetic number, because the mean of its divisors is an integer number (1711030860).

Almost surely, 2^131678643720 is an apocalyptic number.

131678643720 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 131678643720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219011950080).

131678643720 is an abundant number, since it is smaller than the sum of its proper divisors (306345256440).

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

131678643720 is a wasteful number, since it uses less digits than its factorization.

131678643720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12276 (or 12272 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 131678643720 in words is "one hundred thirty-one billion, six hundred seventy-eight million, six hundred forty-three thousand, seven hundred twenty".