189718144 has 64 divisors (see below), whose sum is σ = 471240000. Its totient is φ = 73912320.

The previous prime is 189718141. The next prime is 189718159. The reversal of 189718144 is 441817981.

It is a happy number.

189718144 is digitally balanced in base 2, 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 (64).

It is a self number, because there is not a number n which added to its sum of digits gives 189718144.

It is not an unprimeable number, because it can be changed into a prime (189718141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232 + ... + 19480.

It is an arithmetic number, because the mean of its divisors is an integer number (7363125).

Almost surely, 2^189718144 is an apocalyptic number.

189718144 is a gapful number since it is divisible by the number (14) 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 189718144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235620000).

189718144 is an abundant number, since it is smaller than the sum of its proper divisors (281521856).

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

189718144 is a wasteful number, since it uses less digits than its factorization.

189718144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19281 (or 19269 counting only the distinct ones).

The product of its digits is 64512, while the sum is 43.

The square root of 189718144 is about 13773.8209658758. The cubic root of 189718144 is about 574.6052933262.

The spelling of 189718144 in words is "one hundred eighty-nine million, seven hundred eighteen thousand, one hundred forty-four".