131027839488 has 960 divisors, whose sum is σ = 492460480512. Its totient is φ = 33861058560.

The previous prime is 131027839471. The next prime is 131027839489. The reversal of 131027839488 is 884938720131.

It is a happy number.

131027839488 is a `hidden beast` number, since 1 + 3 + 102 + 78 + 394 + 88 = 666.

131027839488 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (131027839489) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 803851695 + ... + 803851857.

Almost surely, 2^131027839488 is an apocalyptic number.

131027839488 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 131027839488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246230240256).

131027839488 is an abundant number, since it is smaller than the sum of its proper divisors (361432641024).

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

131027839488 is an equidigital number, since it uses as much as digits as its factorization.

131027839488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 131027839488 in words is "one hundred thirty-one billion, twenty-seven million, eight hundred thirty-nine thousand, four hundred eighty-eight".