166140 has 72 divisors (see below), whose sum is σ = 550368. Its totient is φ = 40320.

The previous prime is 166099. The next prime is 166147. The reversal of 166140 is 41661.

166140 is a `hidden beast` number, since 1 + 661 + 4 + 0 = 666.

166140 is digitally balanced in base 2, 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 (18).

It is a nialpdrome in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 166140.

It is not an unprimeable number, because it can be changed into a prime (166147) by changing a digit.

166140 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2305 + ... + 2375.

It is an arithmetic number, because the mean of its divisors is an integer number (7644).

2¹⁶⁶¹⁴⁰ is an apocalyptic number.

166140 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 166140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275184).

166140 is an abundant number, since it is smaller than the sum of its proper divisors (384228).

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

166140 is a wasteful number, since it uses less digits than its factorization.

166140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 166140 is about 407.6027477827. The cubic root of 166140 is about 54.9740924815.

The spelling of 166140 in words is "one hundred sixty-six thousand, one hundred forty".