166189140 has 288 divisors, whose sum is σ = 587059200. Its totient is φ = 37739520.

The previous prime is 166189129. The next prime is 166189147. The reversal of 166189140 is 41981661.

It is a happy number.

166189140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 166189095 and 166189104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166189147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2103621 + ... + 2103699.

It is an arithmetic number, because the mean of its divisors is an integer number (2038400).

Almost surely, 2^166189140 is an apocalyptic number.

166189140 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 166189140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293529600).

166189140 is an abundant number, since it is smaller than the sum of its proper divisors (420870060).

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

166189140 is a wasteful number, since it uses less digits than its factorization.

166189140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 166189140 is about 12891.4366926266. The cubic root of 166189140 is about 549.7951192816.

The spelling of 166189140 in words is "one hundred sixty-six million, one hundred eighty-nine thousand, one hundred forty".