No way to set sqlite file opener.

[NoBugs!]

This is partly a bug in sqlitebrowser, but mostly it is a bug in Ubuntu/nautilus.
When I open a .db sqlite file, it says there are no applications capable of handling it.
I install sqlitebrowser, which opens it fine.
However, it not only doesn't open the file when double-clicked, it doesn't seem to even be able to associate with this type of file. Right click, and open with... doesn't show sqlitebrowser, and doesn't even have a "browse..." button to select the app's binary.

ProblemType: Bug
DistroRelease: Ubuntu 12.04
Package: sqlitebrowser 2.0.0~beta1+ds.1-2
ProcVersionSignature: Ubuntu 3.2.0-29.46-generic 3.2.24
Uname: Linux 3.2.0-29-generic x86_64
NonfreeKernelModules: wl
ApportVersion: 2.0.1-0ubuntu12
Architecture: amd64
Date: Sat Sep 1 11:25:46 2012
InstallationMedia: Ubuntu 12.04 LTS "Precise Pangolin" - Beta amd64 (20120301)
ProcEnviron:
 TERM=xterm
 PATH=(custom, user)
 LANG=en_US.UTF-8
 SHELL=/bin/bash
SourcePackage: sqlitebrowser
UpgradeStatus: No upgrade log present (probably fresh install)