131286048 has 96 divisors (see below), whose sum is σ = 365783040. Its totient is φ = 41114880.

The previous prime is 131286041. The next prime is 131286061. The reversal of 131286048 is 840682131.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (131286041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304393 + ... + 304823.

It is an arithmetic number, because the mean of its divisors is an integer number (3810240).

Almost surely, 2^131286048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131286048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182891520).

131286048 is an abundant number, since it is smaller than the sum of its proper divisors (234496992).

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

131286048 is a wasteful number, since it uses less digits than its factorization.

131286048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 131286048 is about 11458.0123930811. The cubic root of 131286048 is about 508.2446999339.

The spelling of 131286048 in words is "one hundred thirty-one million, two hundred eighty-six thousand, forty-eight".