16 ounces = 1lb of meat = 454 grams of meat. Most meats come in at around 125g of protein per pound, roughly 25% of the weight. Some more, some less.
You can play with different meat sources on a tracker, I personally use FitDay but there are others, my sister-in-law uses Spark people. So to get that 135 grams of protein from chicken, they probably ate around a pound of meat, or slightly more, or four to five 4 ounce servings.
Edit: Forgot to add, the general rule of thumb is 0.7-1 gram of protein per pound of lean muscle mass, or roughly 2 grams per kilo of lean muscle mass. Take your weight, factor out the weight of body fat, and calculate from there.