70-200mm F/2.8 IS II has longer focal length, however, its max aperture is 2.8. 135mm f/2 has shorter focal length, but it have wider max aperture.
So, Canon 70-200mm F/2.8 IS II at 200mm - f/2.8 and Canon EF 135mm f/2 at 135mm - f/2, what make more blurred background??? ( when take photograph of a same model at same size of that model's face/body (compare to full size of the picture))