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For example, I have a 36W LED unit.

If I needed to measure with a electricity meter, would 36W be active, reactive, or apparent power consumption?

I would appreciate if you could tell me (if there is any) what International Standard is followed to print out the values and all necessary indications (active, reactive, etc.)

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The power rating of a device is the maximum power and is usually given in watts for real power and volt-amperes for apparent power for AC systems. Also not uncommon is the indication of active power and power factor.

DC power will always be a real power value, as there's no such thing as real/reactive power in a DC circuit. (That could be the case with above mentioned LED device, if DC power ratings are given.)

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    \$\begingroup\$ It may be worth mentioning that DC power will always be a real power value, as there's no such thing as real/reactive power in a DC circuit. \$\endgroup\$
    – Li-aung Yip
    Sep 23, 2014 at 6:18

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