The stability bounds of the Standard Model electroweak vacuum are discussed in view of the recent experimental evidence of the Higgs boson. Assuming no New Physics up to the Planck scale, a Higgs boson mass around 126 GeV implies that the electroweak vacuum is likely to be unstable but sufficiently long lived. This value of the Higgs mass is also compatible with the peculiar condition of a vanishing Higgs self coupling around the Planck scale: some speculations about the consequences of this condition are also briefly discussed