Currently your memory limit is set to: 64M. 64M of memory is barely enough memory to run WordPress with a small number of plugins. Ask your Host to increase your memory limit to at least 128M. 256M would be even better (Optimum WordPress memory limit setting). BPS Pro requires very little memory to install and relatively little memory to run everything once BPS Pro is installed. You can try deactivating all of your other plugins to install/activate BPS Pro, but when you try to activate all of your other plugins then I assume 1 or more of those other plugins will not activate and you will see this same error, but the error will be for another plugin that you have installed since it appears that your website is maxed out on memory.
Dev Troubleshooting Notes: BPS Pro was first installed on this website on 4-6-2014 – 1 year and 7 months ago.