What are the maximum bag space and Pokemon storage? How many upgrades are needed to reach the limits?

Update: This answer is outdated. Please refer to @JustAHuman's updated answer.

The maximum is 1000 for item storage and 1000 for Pokemon storage.

The limit is 1k/1k

Once you hit 1k the store informs you there is no more upgrades for each

I'm maxed on both so this isn't random guessing

EDIT: As pointed out, the actual question is what are the maximums. They are both 1,000. The starting sizes are:

• Items: 350
• Pokémon: 250

So at +50 per upgrade, the most you need to buy is:

• For the items: (1000-350)/50 = 13 upgrades
• For the Pokémon: (1000-250)/50 = 15 upgrades

To see the current size, you can view via:

Select the Pokéball menu button > Items

Select the Pokéball menu button > Pokémon

At the top it says e.g.

Items

354/350

Note that you can go over the limit - I think it is only Pokéstops that prevent you gaining items right now but haven't checked for sure. It might just be important events like levelling up that allow you to go over.

You can buy upgrades in the store for your Bag and Pokémon storage until you can carry 1000 items and 1000 Pokémon. I am at the Max on both of them, and the store does not let you purchase more upgrades.