131778345780676 has 192 divisors, whose sum is σ = 284474437632000. Its totient is φ = 53284997791872.

The previous prime is 131778345780617. The next prime is 131778345780701. The reversal of 131778345780676 is 676087543877131.

It is a junction number, because it is equal to n+sod(n) for n = 131778345780599 and 131778345780608.

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, 766945791 + ... + 767117593.

It is an arithmetic number, because the mean of its divisors is an integer number (1481637696000).

Almost surely, 2^{131778345780676} 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 131778345780676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142237218816000).

131778345780676 is an abundant number, since it is smaller than the sum of its proper divisors (152696091851324).

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

131778345780676 is a wasteful number, since it uses less digits than its factorization.

131778345780676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172183 (or 172167 counting only the distinct ones).

The product of its (nonzero) digits is 995742720, while the sum is 73.

The spelling of 131778345780676 in words is "one hundred thirty-one trillion, seven hundred seventy-eight billion, three hundred forty-five million, seven hundred eighty thousand, six hundred seventy-six".