189712000 has 128 divisors (see below), whose sum is σ = 481178880. Its totient is φ = 74368000.

The previous prime is 189711953. The next prime is 189712007. The reversal of 189712000 is 217981.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 189712000.

It is not an unprimeable number, because it can be changed into a prime (189712007) 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, 1135917 + ... + 1136083.

It is an arithmetic number, because the mean of its divisors is an integer number (3759210).

Almost surely, 2^189712000 is an apocalyptic number.

189712000 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 189712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240589440).

189712000 is an abundant number, since it is smaller than the sum of its proper divisors (291466880).

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

189712000 is an equidigital number, since it uses as much as digits as its factorization.

189712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 189712000 is about 13773.5979322761. The cubic root of 189712000 is about 574.5990904174.

Adding to 189712000 its reverse (217981), we get a palindrome (189929981).

The spelling of 189712000 in words is "one hundred eighty-nine million, seven hundred twelve thousand".