Let \(f(x)=2{x}^{n}+\lambda ,\lambda \in \mathrm{ℝ},n\in \mathrm{ℕ}\) and \(f(4)=133,f(5)=255\) . Then the sum of all th…

Let \(f(x)=2{x}^{n}+\lambda ,\lambda \in \mathrm{ℝ},n\in \mathrm{ℕ}\) and \(f(4)=133,f(5)=255\) . Then the sum of all the positive integer divisors of \((f(3)-f(2))\) is

[JEE Main 2023, 25 Jan (Shift 2)]