Defining static classes in F#

Is it possible to define a static class that contains overloadable members in F#? let module bindings cannot be overloaded, even though they are compiled into static members in static classes.

type declarations can contain static members, but I don't know if the type itself can be made static.

My current solution is to define a type with a private constructor and just use that. I'm wondering if there is a way I can define a static type as I want.