131139648 has 140 divisors (see below), whose sum is σ = 398865852. Its totient is φ = 42577920.

The previous prime is 131139611. The next prime is 131139667. The reversal of 131139648 is 846931131.

131139648 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 3 + 9 + 648 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4981824 + 126157824 = 2232^2 + 11232^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 212236 + ... + 212852.

Almost surely, 2^131139648 is an apocalyptic number.

131139648 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 131139648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199432926).

131139648 is an abundant number, since it is smaller than the sum of its proper divisors (267726204).

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

131139648 is an equidigital number, since it uses as much as digits as its factorization.

131139648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 663 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 131139648 is about 11451.6220685106. The cubic root of 131139648 is about 508.0557113348.

The spelling of 131139648 in words is "one hundred thirty-one million, one hundred thirty-nine thousand, six hundred forty-eight".