131691848064 has 256 divisors, whose sum is σ = 409002048000. Its totient is φ = 37528135680.

The previous prime is 131691848059. The next prime is 131691848107. The reversal of 131691848064 is 460848196131.

It is a junction number, because it is equal to n+sod(n) for n = 131691847998 and 131691848016.

It is a congruent number.

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, 61508434 + ... + 61510574.

It is an arithmetic number, because the mean of its divisors is an integer number (1597664250).

Almost surely, 2^131691848064 is an apocalyptic number.

131691848064 is a gapful number since it is divisible by the number (14) 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 131691848064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204501024000).

131691848064 is an abundant number, since it is smaller than the sum of its proper divisors (277310199936).

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

131691848064 is an equidigital number, since it uses as much as digits as its factorization.

131691848064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 131691848064 in words is "one hundred thirty-one billion, six hundred ninety-one million, eight hundred forty-eight thousand, sixty-four".