Every number in A136404 on the OEIS under 1.2*10^12 is in this sequence. 8, 32, 216, 1728, 27000, and 74088000 are also in the sequence.
The nth term in the sequence is the smallest number in OEIS A001597 that has more factors than the (n-1)th term. The first term is 1. Every term is also in A368681. Proof in the comments.
