166138176 has 112 divisors (see below), whose sum is σ = 459849728. Its totient is φ = 52876800.

The previous prime is 166138171. The next prime is 166138183. The reversal of 166138176 is 671831661.

166138176 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166138171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 612921 + ... + 613191.

Almost surely, 2^166138176 is an apocalyptic number.

166138176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166138176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229924864).

166138176 is an abundant number, since it is smaller than the sum of its proper divisors (293711552).

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

166138176 is a wasteful number, since it uses less digits than its factorization.

166138176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 410 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 166138176 is about 12889.4598800726. The cubic root of 166138176 is about 549.7389129953.

The spelling of 166138176 in words is "one hundred sixty-six million, one hundred thirty-eight thousand, one hundred seventy-six".