Does a diabetic fasting number of 136 mean that the diabetes is well controlled?

Not exactly. You can't focus on just fasting sugar to determine how well controlled your diabetes is. Mealtime blood sugars are also very important. A 136 fasting blood sugar is not optimal. Normal fasting blood sugar is less than 100.
Not necessarily. The better test for diabetes control is the hemoglobin a1c, which measures one's average blood sugar over a period of time. The best value for the A1c is controversial, but generally, if one is a long-time diabetic on insulin, then one can aim for an A1c of < or = 7.0. If one is a new diabetic (diet-controlled or on oral med), then perhaps one can aim for < 6.5 or even perhaps < or = 5.6.