Flight Crew Air Transport Pilot (ATP)
Aircraft Equipment Problem Less Severe; Inflight Event / Encounter Wake Vortex Encounter
General None Reported / Taken
Environment - Non Weather Related; Procedure
Descending for the visual to 24R in LAX we encountered some wake turbulence from a preceding 737. We experienced some rolling motions with a max bank angle around 20 degrees.  Around the final approach fix the last and largest turbulence encounter occurred and caused WINDSHEAR FAIL; STALL PROT FAIL; and AT FAIL EICAS messages. (There was also a fourth Warning Message that the FO and I could not remember once we arrived at the gate.) Once we recovered from the bank and were established on the G/S inside the FAF we decided to continue the approach given the calm weather and the aircraft handling normally. A normal approach and landing followed. On rollout; around 80 kts; the Warning Messages went away and ADS PROBE 1; 2; 3; and 4 FAIL status messages popped up instead. We verified we were OK to taxi given the messages and continued to the gate.
EMB-175 Captain reported encountering wake turbulence on visual approach to LAX Runway 24R in trail of a B737 that resulted in several system failure messages.