131248296 has 128 divisors (see below), whose sum is σ = 398822400. Its totient is φ = 39813120.

The previous prime is 131248291. The next prime is 131248297. The reversal of 131248296 is 692842131.

It is a super-2 number, since 2×131248296² = 34452230405807232, which contains 22 as substring.

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 a self number, because there is not a number n which added to its sum of digits gives 131248296.

It is not an unprimeable number, because it can be changed into a prime (131248291) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 113256 + ... + 114408.

It is an arithmetic number, because the mean of its divisors is an integer number (3115800).

Almost surely, 2^131248296 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 131248296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199411200).

131248296 is an abundant number, since it is smaller than the sum of its proper divisors (267574104).

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

131248296 is a wasteful number, since it uses less digits than its factorization.

131248296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1206 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 131248296 is about 11456.3648684912. The cubic root of 131248296 is about 508.1959791098.

The spelling of 131248296 in words is "one hundred thirty-one million, two hundred forty-eight thousand, two hundred ninety-six".