131563019427840 has 6048 divisors, whose sum is σ = 656168200597728. Its totient is φ = 23960066457600.

The previous prime is 131563019427799. The next prime is 131563019427841. The reversal of 131563019427840 is 48724910365131.

131563019427840 is a `hidden beast` number, since 1 + 3 + 1 + 563 + 0 + 1 + 9 + 4 + 2 + 78 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131563019427841) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2482321121254 + ... + 2482321121306.

It is an arithmetic number, because the mean of its divisors is an integer number (108493419411).

It is a 1-persistent number, because it is pandigital, but 2⋅131563019427840 = 263126038855680 is not.

Almost surely, 2^{131563019427840} is an apocalyptic number.

131563019427840 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 131563019427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328084100298864).

131563019427840 is an abundant number, since it is smaller than the sum of its proper divisors (524605181169888).

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

131563019427840 is a wasteful number, since it uses less digits than its factorization.

131563019427840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 131563019427840 in words is "one hundred thirty-one trillion, five hundred sixty-three billion, nineteen million, four hundred twenty-seven thousand, eight hundred forty".