126166329601 has 27 divisors (see below), whose sum is σ = 138621791241. Its totient is φ = 114777584064.

The previous prime is 126166329599. The next prime is 126166329607. The reversal of 126166329601 is 106923661621.

The square root of 126166329601 is 355199.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 55156871025 + 71009458576 = 234855^2 + 266476^2 .

It is not a de Polignac number, because 126166329601 - 2¹ = 126166329599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126166329607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 410965090 + ... + 410965396.

Almost surely, 2^126166329601 is an apocalyptic number.

126166329601 is the 355199-th square number.

126166329601 is the 177600-th centered octagonal number.

It is an amenable number.

126166329601 is a deficient number, since it is larger than the sum of its proper divisors (12455461640).

126166329601 is an frugal number, since it uses more digits than its factorization.

126166329601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The spelling of 126166329601 in words is "one hundred twenty-six billion, one hundred sixty-six million, three hundred twenty-nine thousand, six hundred one".