166127120 has 40 divisors (see below), whose sum is σ = 386909016. Its totient is φ = 66336768.

The previous prime is 166127099. The next prime is 166127153. The reversal of 166127120 is 21721661.

166127120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 50865424 + 115261696 = 7132^2 + 10736^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 166127120.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 57224 + ... + 60056.

Almost surely, 2^166127120 is an apocalyptic number.

166127120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166127120 is an abundant number, since it is smaller than the sum of its proper divisors (220781896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

166127120 is a wasteful number, since it uses less digits than its factorization.

166127120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3579 (or 3573 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 166127120 is about 12889.0309953852. The cubic root of 166127120 is about 549.7267182298.

Adding to 166127120 its reverse (21721661), we get a palindrome (187848781).

It can be divided in two parts, 16612 and 7120, that added together give a palindrome (23732).

The spelling of 166127120 in words is "one hundred sixty-six million, one hundred twenty-seven thousand, one hundred twenty".