131359498352640 has 576 divisors, whose sum is σ = 461346911625600. Its totient is φ = 34562119827456.

The previous prime is 131359498352639. The next prime is 131359498352647. The reversal of 131359498352640 is 46253894953131.

131359498352640 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 59 + 498 + 3 + 52 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131359498352647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12326118192 + ... + 12326128848.

It is an arithmetic number, because the mean of its divisors is an integer number (800949499350).

Almost surely, 2^{131359498352640} is an apocalyptic number.

131359498352640 is a gapful number since it is divisible by the number (10) 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 131359498352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230673455812800).

131359498352640 is an abundant number, since it is smaller than the sum of its proper divisors (329987413272960).

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

131359498352640 is a wasteful number, since it uses less digits than its factorization.

131359498352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12462 (or 12439 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 131359498352640 in words is "one hundred thirty-one trillion, three hundred fifty-nine billion, four hundred ninety-eight million, three hundred fifty-two thousand, six hundred forty".