131442845826048 has 352 divisors, whose sum is σ = 360468461037888. Its totient is φ = 42557767680000.

The previous prime is 131442845826029. The next prime is 131442845826077. The reversal of 131442845826048 is 840628548244131.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 131442845825982 and 131442845826000.

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, 43799680548 + ... + 43799683548.

Almost surely, 2^{131442845826048} 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 131442845826048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180234230518944).

131442845826048 is an abundant number, since it is smaller than the sum of its proper divisors (229025615211840).

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

131442845826048 is a wasteful number, since it uses less digits than its factorization.

131442845826048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4479 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 47185920, while the sum is 60.

The spelling of 131442845826048 in words is "one hundred thirty-one trillion, four hundred forty-two billion, eight hundred forty-five million, eight hundred twenty-six thousand, forty-eight".