166048129 has 24 divisors (see below), whose sum is σ = 191776760. Its totient is φ = 142884864.

The previous prime is 166048117. The next prime is 166048147. The reversal of 166048129 is 921840661.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 4631104 + 161417025 = 2152^2 + 12705^2 .

It is not a de Polignac number, because 166048129 - 2¹⁵ = 166015361 is a prime.

It is a super-2 number, since 2×166048129² = 55143962288801282, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (166048159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 724987 + ... + 725215.

Almost surely, 2^166048129 is an apocalyptic number.

It is an amenable number.

166048129 is a deficient number, since it is larger than the sum of its proper divisors (25728631).

166048129 is a wasteful number, since it uses less digits than its factorization.

166048129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 166048129 is about 12885.9663587951. The cubic root of 166048129 is about 549.6395754293.

The spelling of 166048129 in words is "one hundred sixty-six million, forty-eight thousand, one hundred twenty-nine".