Problem Transferring Worpress - Allowed Memory Size

Hey there. Ive done designs before and transferred the files over after completion, but I have never done it with Wordpress before.

I have transferred all the files, and dumped the SQL into the right database, and then amended wp-config.php with the right details for the database.

The problem I have is this:

Fatal error: Allowed memory size of 33554432 bytes exhausted (tried to allocate 8192 bytes) in /home/cmn/public_html/wp-includes/pomo/streams.php on line 113

Not sure why. Can you help me out? Thanks.