16146 has 32 divisors (see below), whose sum is σ = 40320. Its totient is φ = 4752.

The previous prime is 16141. The next prime is 16183. The reversal of 16146 is 64161.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 691 + ... + 713.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

2¹⁶¹⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160).

16146 is an abundant number, since it is smaller than the sum of its proper divisors (24174).

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

16146 is a wasteful number, since it uses less digits than its factorization.

16146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 41 counting only the distinct ones).

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

The square root of 16146 is about 127.0669115073. The cubic root of 16146 is about 25.2748342407.

Adding to 16146 its product of digits (144), we get a triangular number (16290 = T₁₈₀).

The spelling of 16146 in words is "sixteen thousand, one hundred forty-six".