131576185728 has 640 divisors, whose sum is σ = 444362265600. Its totient is φ = 38267873280.

The previous prime is 131576185723. The next prime is 131576185729. The reversal of 131576185728 is 827581675131.

131576185728 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 7 + 61 + 8 + 572 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131576185723) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3059911275 + ... + 3059911317.

It is an arithmetic number, because the mean of its divisors is an integer number (694316040).

Almost surely, 2^131576185728 is an apocalyptic number.

131576185728 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 131576185728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222181132800).

131576185728 is an abundant number, since it is smaller than the sum of its proper divisors (312786079872).

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

131576185728 is an frugal number, since it uses more digits than its factorization.

131576185728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 92 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 54.

The spelling of 131576185728 in words is "one hundred thirty-one billion, five hundred seventy-six million, one hundred eighty-five thousand, seven hundred twenty-eight".