That's probably not quite true. The human brain's storage capacity is probably measurable in petabytes. But the way our brain's store and retrieve information is probably far less efficient. So it might be more accurate to say that AI models could surpass human intelligence with less storage capacity than the human brain, because of advantages in stable storage and recall.
Discussion
That was exactly Geoffrey Hinton's recent argument in a couple of interviews he gave. He also mentioned that the back-propagation algorithm is probably a better learning algorithm than the one the human brain uses. That is scary.