Found with PFGW Version 3.7.5

135^18427-134 is 2-PRP! (11.3691s+0.0019s)
135^18427-134 is 3-PRP! (11.1964s+0.0015s)
135^18427-134 is 5-PRP! (11.2077s+0.0014s)
135^18427-134 is 7-PRP! (11.2110s+0.0013s)
135^18427-134 is 11-PRP! (11.1903s+0.0014s)

Primality testing 135^18427-134 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N-1 test using base 19
Running N-1 test using base 29
Running N+1 test using discriminant 53, base 3+sqrt(53)
Calling N-1 BLS with factored part 0.16% and helper 0.04% (0.53% proof)
135^18427-134 is Fermat and Lucas PRP! (101.7999s+0.0022s)

To be completed...