131585495328 has 432 divisors, whose sum is σ = 453122377344. Its totient is φ = 37453570560.

The previous prime is 131585495297. The next prime is 131585495341. The reversal of 131585495328 is 823594585131.

131585495328 is a `hidden beast` number, since 1 + 3 + 1 + 58 + 54 + 9 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 139835338 + ... + 139836278.

It is an arithmetic number, because the mean of its divisors is an integer number (1048894392).

Almost surely, 2^131585495328 is an apocalyptic number.

131585495328 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 131585495328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226561188672).

131585495328 is an abundant number, since it is smaller than the sum of its proper divisors (321536882016).

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

131585495328 is an equidigital number, since it uses as much as digits as its factorization.

131585495328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1320 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 54.

The spelling of 131585495328 in words is "one hundred thirty-one billion, five hundred eighty-five million, four hundred ninety-five thousand, three hundred twenty-eight".