131374626612768 has 2160 divisors, whose sum is σ = 504812894953752. Its totient is φ = 33384495513600.

The previous prime is 131374626612737. The next prime is 131374626612851. The reversal of 131374626612768 is 867216626473131.

131374626612768 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 7 + 4 + 6 + 2 + 6 + 612 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82616974214544 + 48757652398224 = 9089388^2 + 6982668^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 330918454746 + ... + 330918455142.

Almost surely, 2^{131374626612768} is an apocalyptic number.

131374626612768 is a gapful number since it is divisible by the number (18) 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 131374626612768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252406447476876).

131374626612768 is an abundant number, since it is smaller than the sum of its proper divisors (373438268340984).

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

131374626612768 is a wasteful number, since it uses less digits than its factorization.

131374626612768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 834 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 63.

The spelling of 131374626612768 in words is "one hundred thirty-one trillion, three hundred seventy-four billion, six hundred twenty-six million, six hundred twelve thousand, seven hundred sixty-eight".