189189504 has 192 divisors, whose sum is σ = 644436000. Its totient is φ = 52125696.

The previous prime is 189189503. The next prime is 189189529. The reversal of 189189504 is 405981981.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 189189504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189189503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233452 + ... + 234260.

Almost surely, 2^189189504 is an apocalyptic number.

189189504 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 189189504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322218000).

189189504 is an abundant number, since it is smaller than the sum of its proper divisors (455246496).

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

189189504 is a wasteful number, since it uses less digits than its factorization.

189189504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 189189504 is about 13754.6175519351. The cubic root of 189189504 is about 574.0710939958.

The spelling of 189189504 in words is "one hundred eighty-nine million, one hundred eighty-nine thousand, five hundred four".