131268844 has 48 divisors (see below), whose sum is σ = 269684800. Its totient is φ = 55883520.

The previous prime is 131268829. The next prime is 131268857. The reversal of 131268844 is 448862131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330454 + ... + 330850.

Almost surely, 2^131268844 is an apocalyptic number.

131268844 is a gapful number since it is divisible by the number (14) 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 131268844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134842400).

131268844 is an abundant number, since it is smaller than the sum of its proper divisors (138415956).

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

131268844 is a wasteful number, since it uses less digits than its factorization.

131268844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 647 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

The square root of 131268844 is about 11457.2616274571. The cubic root of 131268844 is about 508.2224984790. Note that the first 3 decimals are identical.

The spelling of 131268844 in words is "one hundred thirty-one million, two hundred sixty-eight thousand, eight hundred forty-four".