An unloaded power transformer uses some excitation current, some of which is reactive power (out of phase with the line voltage, so isn't real power) and some amount of real power, due to core and copper losses. A good, big transformer should have real losses below 1% of full-load power; a junky wall-wart cauld have a lot more, and run distinctly warm with no load at all.
If you measure line current, you're seeing the vector sum of the real and the imaginary (out-of-phase) currents; only the real part is true "wattage", which creates heat and spins your electric meter.
Google "transformer losses" and "transformer excitation" and "real imaginary power" for details.
John