19140 has 48 divisors (see below), whose sum is σ = 60480. Its totient is φ = 4480.

The previous prime is 19139. The next prime is 19141. The reversal of 19140 is 4191.

It is an interprime number because it is at equal distance from previous prime (19139) and next prime (19141).

It is a Harshad number since it is a multiple of its sum of digits (15).

19140 is an undulating number in base 12.

It is not an unprimeable number, because it can be changed into a prime (19141) 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, 646 + ... + 674.

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

2¹⁹¹⁴⁰ is an apocalyptic number.

19140 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 19140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240).

19140 is an abundant number, since it is smaller than the sum of its proper divisors (41340).

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

19140 is a wasteful number, since it uses less digits than its factorization.

19140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 19140 is about 138.3473888442. The cubic root of 19140 is about 26.7493958579.

It can be divided in two parts, 191 and 40, that added together give a triangular number (231 = T₂₁).

The spelling of 19140 in words is "nineteen thousand, one hundred forty".