19146 has 8 divisors (see below), whose sum is σ = 38304. Its totient is φ = 6380.

The previous prime is 19141. The next prime is 19157. The reversal of 19146 is 64191.

It is a sphenic number, since it is the product of 3 distinct primes.

19146 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1590 + ... + 1601.

It is an arithmetic number, because the mean of its divisors is an integer number (4788).

2¹⁹¹⁴⁶ is an apocalyptic number.

19146 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19152).

19146 is a wasteful number, since it uses less digits than its factorization.

19146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196.

The product of its digits is 216, while the sum is 21.

The square root of 19146 is about 138.3690716887. The cubic root of 19146 is about 26.7521906961.

The spelling of 19146 in words is "nineteen thousand, one hundred forty-six".