A semiconductor module is disclosed. One embodiment provides a first semiconductor chip having a first contact pad on a first main surface and a second contact pad on a second main surface, a first electrically conductive layer applied to the first main surface, a second electrically conductive layer applied to the second main surface, and an electrically insulating material covering the first electrically conductive layer, wherein a surface of the second electrically conductive layer forms an external contact pad and the second electrically conductive layer has a thickness of less than 200 μm.