Hello Ray,
Give me an inch and I'll take the whole hundred miles!
Ray S is correct. For a hydrocarbon fuel to burn it requires access to oxygen. LPG cylinders contain no oxygen (or at least they shouldn't) so the liquid and vaporised gas inside which is either Butane or Propane cannot burn or explode through chemical action.
As for haw many or much LPG you can leagaly have at a dwelling see the following document:
http://www.epa.govt.nz/hazardous-substances/using-storing/common-substances/lpg/Pages/Limits-for-using-and-storing-LPG-indoors.aspx
As for where to store LPG cylinders see:
http://www.hse.gov.uk/pubns/chis5.pdf
It is very rare indeed for an LPG bottle to explode due to the internal combustion of its content. It is actually quite difficult to get enough air inside a cylinder to produce an explosive mixture, and even harder to introduce a source of ignition. Look how complicated car engines are which are essentially trying to do just that!
The more common (but still infrequent) cause for the "explosion" of an LPG cylinder is when its surrounded by a fire, where it's the heat from the external fire that raises the temperature and pressure of the LPG inside the cylinder. Ultimately the hydraulic pressure of the LPG may split the cylinder and allow the content to escape. Under such conditions the escaping gas will be ejected at very high pressure and can throw a jet of gas and liquid a very long distance. This will rapidly spread the fire.
What is more common is for the brass valve to give and vent the pressure. That can create a very spectacular but dangerous fire show. If a cylinder is not secured upright, it may be knocked over and the force of the ejecting vapour or liquid can turn the cylinder into a very destructive missile. I have seen a factory wall destroyed by just such a missile.
Imagine what a 4.5kg butane cylinder yet alone a 45Kg Propane cylinder hurtling towards you can do.
Imagine what a 20M or more high fountain of burning LPG could do to the roof of your garage and the bedroom above.
And that's not all, even with out a flame, Liquefied gas can burn or more precisely cause frost bite. LPG is stored under pressure to keep it in its liquid form. The liquid needs heat to vapourise in to its gas state, and to do it grabs heat from anything it touches. Pure liquefied Propane will cause a sever deep burn on the skin. Butane will also, if exposed to enough of the liquid.
This may read as all doom and gloom, but provided LPG is used correctly and safely then it is still one of the cleanest and most convenient high energy fuels available.