OK, I do have to make one assumption here. That the 2" border that is around the tank will also account for water. So, that would make the dimensions 136 x 38.
Starphire Glass (Same as regular plate glass)- Coming up with 1" on this one.
With glass, there is an industry standard safety factor of 3.8, which is what I used int he calculation above. Of course. this can be changed as well. For example a 2.0 safety factor would give you roughly 3/4" glass. This is all a matter of how comfortable you feel with using a lower safety factor. Some tank manufacturers have done this for years, some haven't.
Acrylic- 1.5" on this one.
There's not really a safety factor with acrylic per se, but you can change the beta within the equation and modify the results. From experience, manufacturers have also built acrylic tanks with thinner acrylic with acceptable results. The acrylic calculation is based on deflection. The thickness listed above will allow minimal deflection(bowing) of the acrylic.