The annual limits for 2015 IRA contributions are $5,500 for individuals under 50 years old, and $6,500 for those who are 50 and over. These contribution limits remain the same for 2016. The limit is assessed across all of your accounts, so if you have reached the limit with one provider you are not allowed to contribute to another account.
There are additional contribution limits to a Roth IRA, and deduction limits to a Traditional IRA, based on your income and other factors. Please speak with your tax advisor.