166306140 has 432 divisors, whose sum is σ = 690633216. Its totient is φ = 31449600.

The previous prime is 166306109. The next prime is 166306159. The reversal of 166306140 is 41603661.

166306140 is a `hidden beast` number, since 16 + 6 + 30 + 614 + 0 = 666.

166306140 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 143 ways as a sum of consecutive naturals, for example, 2342305 + ... + 2342375.

It is an arithmetic number, because the mean of its divisors is an integer number (1598688).

Almost surely, 2^166306140 is an apocalyptic number.

166306140 is a gapful number since it is divisible by the number (10) 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 166306140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345316608).

166306140 is an abundant number, since it is smaller than the sum of its proper divisors (524327076).

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

166306140 is a wasteful number, since it uses less digits than its factorization.

166306140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 166306140 is about 12895.9737902959. The cubic root of 166306140 is about 549.9241107414.

The spelling of 166306140 in words is "one hundred sixty-six million, three hundred six thousand, one hundred forty".