189437248 has 112 divisors (see below), whose sum is σ = 504895104. Its totient is φ = 68106240.

The previous prime is 189437243. The next prime is 189437257. The reversal of 189437248 is 842734981.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 189437198 and 189437207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189437243) by changing a digit.

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, 62586 + ... + 65542.

It is an arithmetic number, because the mean of its divisors is an integer number (4507992).

Almost surely, 2^189437248 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 189437248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252447552).

189437248 is an abundant number, since it is smaller than the sum of its proper divisors (315457856).

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

189437248 is a wasteful number, since it uses less digits than its factorization.

189437248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2990 counting only the distinct ones).

The product of its digits is 387072, while the sum is 46.

The square root of 189437248 is about 13763.6204539358. The cubic root of 189437248 is about 574.3215670769.

The spelling of 189437248 in words is "one hundred eighty-nine million, four hundred thirty-seven thousand, two hundred forty-eight".