189117504 has 105 divisors (see below), whose sum is σ = 563553991. Its totient is φ = 62709120.

The previous prime is 189117493. The next prime is 189117529. The reversal of 189117504 is 405711981.

The square root of 189117504 is 13752.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian 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 14 ways as a sum of consecutive naturals, for example, 990049 + ... + 990239.

Almost surely, 2^189117504 is an apocalyptic number.

189117504 is the 13752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189117504

189117504 is an abundant number, since it is smaller than the sum of its proper divisors (374436487).

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

189117504 is an frugal number, since it uses more digits than its factorization.

189117504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The cubic root of 189117504 is about 573.9982598579.

Multiplying 189117504 by its sum of digits (36), we get a square (6808230144 = 82512²).

189117504 divided by its sum of digits (36) gives a square (5253264 = 2292²).

The spelling of 189117504 in words is "one hundred eighty-nine million, one hundred seventeen thousand, five hundred four".