The line which contains all points $(x,y,z)$ of the form $(x,y,z) = (2,-2,5) + \lambda(1,-3,2)$ intersects the plane $2x-3y+4z=163$ at $P$ and intersects the $YZ$-plane at $Q$. If the distance $PQ$ is $a\sqrt{b}$ where $a,b\in\mathbb{N}$ and $a>3$, then $(a+b)$ equals