131457005568 has 768 divisors, whose sum is σ = 471744000000. Its totient is φ = 36112269312.

The previous prime is 131457005543. The next prime is 131457005579. The reversal of 131457005568 is 865500754131.

131457005568 is a `hidden beast` number, since 1 + 3 + 14 + 5 + 70 + 0 + 5 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 550029193 + ... + 550029431.

It is an arithmetic number, because the mean of its divisors is an integer number (614250000).

Almost surely, 2^131457005568 is an apocalyptic number.

131457005568 is a gapful number since it is divisible by the number (18) 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 131457005568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000000).

131457005568 is an abundant number, since it is smaller than the sum of its proper divisors (340286994432).

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

131457005568 is an equidigital number, since it uses as much as digits as its factorization.

131457005568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

Adding to 131457005568 its reverse (865500754131), we get a palindrome (996957759699).

The spelling of 131457005568 in words is "one hundred thirty-one billion, four hundred fifty-seven million, five thousand, five hundred sixty-eight".