Water weighs 8.34 lbs per gallon...
150 gallons is 1251 lbs...
Now if you lay down a 3/4" thick piece of plywood sheet,
approx 72" x 24" (the footprint of a typical 150 gal. tank)
you'd have approx. 1728 square inches of area to distribute the weight of the tank, and all your goodies (rocks, the tank itself, etc...) on.
Even if that all adds up to 1728lbs...you'd still only be putting 1 pound per square load on the floor...
You could even add an additional 800 lbs and still be at less than 1.5 lbs per sq. inch
Not a problem IMO...
...think waterbed, gunsafe, a party in the living room with all the fat chicks(dudes) wearing pumps

standing against the same wall...
can you imagine what the PSI on the floor is when they are standing on that little high heel? And they don't fall through...