189541248 has 128 divisors (see below), whose sum is σ = 555434880. Its totient is φ = 56899584.

The previous prime is 189541199. The next prime is 189541267. The reversal of 189541248 is 842145981.

189541248 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 (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214215 + ... + 215097.

It is an arithmetic number, because the mean of its divisors is an integer number (4339335).

Almost surely, 2^189541248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189541248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277717440).

189541248 is an abundant number, since it is smaller than the sum of its proper divisors (365893632).

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

189541248 is a wasteful number, since it uses less digits than its factorization.

189541248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 944 counting only the distinct ones).

The product of its digits is 92160, while the sum is 42.

The square root of 189541248 is about 13767.3980112438. The cubic root of 189541248 is about 574.4266476362.

It can be divided in two parts, 18954 and 1248, that added together give a palindrome (20202).

The spelling of 189541248 in words is "one hundred eighty-nine million, five hundred forty-one thousand, two hundred forty-eight".