Specifically methylates the adenine in position 37 of tRNA(1)(Val) (anticodon cmo5UAC). adenosine(37) in tRNA1(Val) + S-adenosyl-L-methionine = H(+) + N(6)-methyladenosine(37) in tRNA1(Val) + S-adenosyl-L-homocysteine Cells lacking this gene show hypersensitivity to hyperosmotic and, to a lesser extent, oxidative stress. Belongs to the methyltransferase superfamily. tRNA (adenine-N(6)-)-methyltransferase family.