Well there is no clear agreement on what to call the levels of giftedness and where exactly the lines are. But in general when you read something where the numbers are 160-180 or higher they are using older style IQ reports, not the WPPSI3, WISC4 or SB5. Without using extended norms the hard limit of the current tests is 160 and I think I have read that it isn't actually possible to score 155 in practice. Davidson have drawn the PG line at 145. But it is somewhat arbitrary, some children in the lower to mid 140s may turn out to be truly profound and some who score right at 145 are going to be less profound than those who could have scored higher with more test available to them... And ultimately it's one moment in time...Dottie, who is no longer posting here, but was something of a Wechsler scoring interpretation expert, would say "Data over time."
DYS will accept an index score in the 145+ range, not a single subtest. So the Verbal or Non Verbal section for example. This allows them to catch the kids whose thinking is in that range but maybe they have a weakness or disability in another area.
I don't know if that helped, but I think you can safely say that your child's scores on both IQ and achievement fall into the PG range by any current measure.