189210000 has 400 divisors, whose sum is σ = 753058944. Its totient is φ = 39936000.

The previous prime is 189209987. The next prime is 189210041. The reversal of 189210000 is 12981.

189210000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3569974 + ... + 3570026.

Almost surely, 2^189210000 is an apocalyptic number.

189210000 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 189210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376529472).

189210000 is an abundant number, since it is smaller than the sum of its proper divisors (563848944).

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

189210000 is a wasteful number, since it uses less digits than its factorization.

189210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 189210000 is about 13755.3625906408. The cubic root of 189210000 is about 574.0918240680.

Adding to 189210000 its reverse (12981), we get a palindrome (189222981).

It can be divided in two parts, 189 and 210000, that multiplied together give a square (39690000 = 6300²).

The spelling of 189210000 in words is "one hundred eighty-nine million, two hundred ten thousand".