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Effectively Near Zero.

Most multimeters are battery powered - this one is the exception, this one is a bench meter and is supplied by an IEC cable on the rear, but so long as you unplug in and let it sit for 30 seconds or so before opening it up, you're just fine.

You generally only have to worry about capacitors being charged still on tube-type gear (anything with high voltage circuits), anything with solid state parts, will self discharge within moments.

Obviously, do not have the meter hooked up to a circuit under test while working on it.