131374661825568 has 192 divisors, whose sum is σ = 401793804179712. Its totient is φ = 36805982453760.

The previous prime is 131374661825557. The next prime is 131374661825587. The reversal of 131374661825568 is 865528166473131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131374661825499 and 131374661825508.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60223480 + ... + 62366792.

It is an arithmetic number, because the mean of its divisors is an integer number (2092676063436).

Almost surely, 2^{131374661825568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131374661825568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200896902089856).

131374661825568 is an abundant number, since it is smaller than the sum of its proper divisors (270419142354144).

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

131374661825568 is a wasteful number, since it uses less digits than its factorization.

131374661825568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145107 (or 2145099 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 66.

The spelling of 131374661825568 in words is "one hundred thirty-one trillion, three hundred seventy-four billion, six hundred sixty-one million, eight hundred twenty-five thousand, five hundred sixty-eight".