131558473728 has 408 divisors, whose sum is σ = 430533632256. Its totient is φ = 39813120000.

The previous prime is 131558473693. The next prime is 131558473757. The reversal of 131558473728 is 827374855131.

131558473728 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 584 + 7 + 37 + 28 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175177353 + ... + 175178103.

Almost surely, 2^131558473728 is an apocalyptic number.

131558473728 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 131558473728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215266816128).

131558473728 is an abundant number, since it is smaller than the sum of its proper divisors (298975158528).

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

131558473728 is an frugal number, since it uses more digits than its factorization.

131558473728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 767 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 131558473728 in words is "one hundred thirty-one billion, five hundred fifty-eight million, four hundred seventy-three thousand, seven hundred twenty-eight".