19145000 has 80 divisors (see below), whose sum is σ = 51358560. Its totient is φ = 6552000.

The previous prime is 19144997. The next prime is 19145003. The reversal of 19145000 is 54191.

It is an interprime number because it is at equal distance from previous prime (19144997) and next prime (19145003).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19145003) 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 19 ways as a sum of consecutive naturals, for example, 34727 + ... + 35273.

It is an arithmetic number, because the mean of its divisors is an integer number (641982).

Almost surely, 2^19145000 is an apocalyptic number.

19145000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 4375×4376.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25679280).

19145000 is an abundant number, since it is smaller than the sum of its proper divisors (32213560).

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

19145000 is an equidigital number, since it uses as much as digits as its factorization.

19145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 19145000 is about 4375.4999714318. The cubic root of 19145000 is about 267.5172493026.

Adding to 19145000 its reverse (54191), we get a palindrome (19199191).

The spelling of 19145000 in words is "nineteen million, one hundred forty-five thousand".