There's just an itty bitty amount left to power it up before it maxes out.

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    Seeing how every Pokemon's max CP goes up with each of your trainer's level up then I'm guessing it's the max level is for trainers which I believe is 50. – Virusbomb Jul 14 '16 at 19:15

As you level up the maximum CP for every pokemon also goes up. However every pokemon has a different maximum CP but the same pokemon will always have the same maximum CP for every trainer level. Therefor every time you level up as a trainer you will be able to increase the CP for all of your pokemon you will also see higher CP wild pokemon.

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