19136 has 28 divisors (see below), whose sum is σ = 42672. Its totient is φ = 8448.

The previous prime is 19121. The next prime is 19139. The reversal of 19136 is 63191.

19136 is a Rhonda number in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 821 + ... + 843.

It is an arithmetic number, because the mean of its divisors is an integer number (1524).

2¹⁹¹³⁶ is an apocalyptic number.

19136 is a gapful number since it is divisible by the number (16) 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 19136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21336).

19136 is an abundant number, since it is smaller than the sum of its proper divisors (23536).

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

19136 is a wasteful number, since it uses less digits than its factorization.

19136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 38 counting only the distinct ones).

The product of its digits is 162, while the sum is 20.

The square root of 19136 is about 138.3329317263. The cubic root of 19136 is about 26.7475323080.

The spelling of 19136 in words is "nineteen thousand, one hundred thirty-six".