166278112 has 192 divisors, whose sum is σ = 457228800. Its totient is φ = 57415680.

The previous prime is 166278103. The next prime is 166278137. The reversal of 166278112 is 211872661.

166278112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 928839 + ... + 929017.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 2^166278112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166278112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228614400).

166278112 is an abundant number, since it is smaller than the sum of its proper divisors (290950688).

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

166278112 is a wasteful number, since it uses less digits than its factorization.

166278112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 241 counting only the distinct ones).

The product of its digits is 8064, while the sum is 34.

The square root of 166278112 is about 12894.8870487492. The cubic root of 166278112 is about 549.8932156324.

The spelling of 166278112 in words is "one hundred sixty-six million, two hundred seventy-eight thousand, one hundred twelve".