Watts are watts, AC or DC doesn't matter. The amps change with the voltage. A 1500 watt load at 120v will draw 1500/120 = 12.5 A. BUT, the inverter isn't supplying the power, the battery is, and it's at 12v. So, to supply 1,500 watts from your 12v battery the inverter is drawing 1500/12 = 125 amps. Really, it will be a bit higher because inverters are not 100% efficient. That's why most people just divide the watts by 10 to get a rough idea of the amps from the 12v battery.
So, yes, if you want to power a 1,500 watt in