131443887126528 has 576 divisors, whose sum is σ = 403599576744000. Its totient is φ = 41070105722880.

The previous prime is 131443887126499. The next prime is 131443887126557. The reversal of 131443887126528 is 825621788344131.

131443887126528 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 4 + 3 + 8 + 87 + 1 + 26 + 528 = 666.

131443887126528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (131443887126499) and next prime (131443887126557).

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

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154095998550 + ... + 154095999402.

It is an arithmetic number, because the mean of its divisors is an integer number (700693709625).

Almost surely, 2^{131443887126528} is an apocalyptic number.

131443887126528 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 131443887126528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201799788372000).

131443887126528 is an abundant number, since it is smaller than the sum of its proper divisors (272155689617472).

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

131443887126528 is a wasteful number, since it uses less digits than its factorization.

131443887126528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 2295 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The spelling of 131443887126528 in words is "one hundred thirty-one trillion, four hundred forty-three billion, eight hundred eighty-seven million, one hundred twenty-six thousand, five hundred twenty-eight".