TL;DR Probably OK, but need to calculate to be sure
In general, most breakers in a panel are either only used most of the time at a small fraction of capacity (e.g., 15A and 20A circuits that most of the time have at most a few Amps in use) or not concurrently (e.g., heat vs. air conditioning) or only for short periods of time (e.g., garbage disposal).
In addition, the main breaker (150A in your panel) is for 240V and each single breaker is only 120V. For example, at the top of the panel you have 2 single 20A breakers on the left and a 20A double breaker (pump) on the right. That looks like 80A but is really 80A @ 120V and only 40A @ 240V (which is what matters). Using that example, the 20A double-breaker for the pump may well run at 16A continuous, but the 20A single breakers likely use only a few Amps most of the time with occasional short periods of more power (e.g., turn on the toaster and use 12A for 10 minutes).
The end result is that you can have 550A of individual breakers but only 150A of supply (main breaker) and be just fine.
There is a real process, load calculation, to figure out the "right" service size needed. However, a very rough calculation is to run down all the breakers and add up all the major circuits that might typically be running at one time (e.g., water heater, pump, air conditioning) and then add in a reasonable number for the other circuits (estimate total lighting load, which shouldn't be much with LEDs, typical small appliance, computer, TV, etc.).
The one problem is when an initial load calculation is done at construction (or major renovation) time and then additional big things are added. The two that often come up are:
- On Demand Water Heater - A typical traditional tank water heater might use 40A @ 240V. An on demand water heater can easily use 3 times as much power. That can overload an electrical system that previously had lots of room to spare. Which is one reason not to get an on demand electric water heater. (There are other reasons as well.)
- Electric Vehicle Charging - This can easily add 40A of continuous (e.g., several hours at a time) usage.