Housing having a pressure compensation device for compensating a pressure in an interior of the housing in connection with the pressure compensation device in relation to surroundings of the housing, with at least the following features: a) the pressure compensation device comprises at least one overpressure valve with at least one lip sealing element having a main part and at least one flexible sealing lip which protrudes radially outwardly from an outer circumference of the main part and which interacts with a sealing surface, b) an annular channel is formed between the main part and the sealing surface, wherein the at least one flexible sealing lip, in a sealing position under elastic pretensioning, sealingly contacts the sealing surface and thus sealingly closes the annular channel to prevent a flow-conducting connection between the interior and the surroundings, and is lifted away from the sealing surface in an open position and thus opens the annular channel to provide a flow-conducting connection between the interior and the surroundings, c) the position of the at least one sealing lip between the sealing position and the open position is controlled as a function of a pressure difference between the pressure in the interior of the housing and the surroundings of the housing, d) the main part of the lip sealing element has an inner gas through-channel which connects the interior to the surroundings as required, e) the pressure compensation device comprises at least one gaspermeable membrane which covers the inner gas through-channel of the main part, f) the overpressure valve and the at least one membrane are arranged in a parallel connection such that a pressure difference between the interior of the housing and the surroundings of the housing acts both on the overpressure valve and on the at least one membrane, characterized by at least the following features: g) the main part and the at least one flexible sealing lip of the lip sealing element are configured in a single piece from an elastomer material, h) the housing has a bore in a housing wall which is in connection or may be brought into connection, on the one hand, with the interior and, on the other hand, with the surroundings of the housing, i) the lip sealing element is directly held in the bore in the housing wall, and the sealing surface, with which the at least one flexible sealing lip interacts, is formed by the radially inner circumferential surface of the bore in the housing wall, j) the lip sealing element is fixed in the bore by means of a flow-permeable hold-down element. a) the pressure compensation device comprises at least one overpressure valve with at least one lip sealing element having a main part and at least one flexible sealing lip which protrudes radially outwardly from an outer circumference of the main part and which interacts with a sealing surface, b) an annular channel is formed between the main part and the sealing surface, wherein the at least one flexible sealing lip, in a sealing position under elastic pretensioning, sealingly contacts the sealing surface and thus sealingly closes the annular channel to prevent a flow-conducting connection between the interior and the surroundings, and is lifted away from the sealing surface in an open position and thus opens the annular channel to provide a flow-conducting connection between the interior and the surroundings, c) the position of the at least one sealing lip between the sealing position and the open position is controlled as a function of a pressure difference between the pressure in the interior of the housing and the surroundings of the housing, d) the main part of the lip sealing element has an inner gas through-channel which connects the interior to the surroundings as required, e) the pressure compensation device comprises at least one gaspermeable membrane which covers the inner gas through-channel of the main part, f) the overpressure valve and the at least one membrane are arranged in a parallel connection such that a pressure difference between the interior of the housing and the surroundings of the housing acts both on the overpressure valve and on the at least one membrane, characterized by at least the following features: g) the main part and the at least one flexible sealing lip of the lip sealing element are configured in a single piece from an elastomer material, h) the housing has a bore in a housing wall which is in connection or may be brought into connection, on the one hand, with the interior and, on the other hand, with the surroundings of the housing, i) the lip sealing element is directly held in the bore in the housing wall, and the sealing surface, with which the at least one flexible sealing lip interacts, is formed by the radially inner circumferential surface of the bore in the housing wall, j) the lip sealing element is fixed in the bore by means of a flow-permeable hold-down element.