189166752 has 216 divisors, whose sum is σ = 602623476. Its totient is φ = 58226688.

The previous prime is 189166729. The next prime is 189166753. The reversal of 189166752 is 257661981.

It can be written as a sum of positive squares in 2 ways, for example, as 176464656 + 12702096 = 13284^2 + 3564^2 .

It is a tau number, because it is divible by the number of its divisors (216).

It is a junction number, because it is equal to n+sod(n) for n = 189166698 and 189166707.

It is not an unprimeable number, because it can be changed into a prime (189166753) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3569158 + ... + 3569210.

Almost surely, 2^189166752 is an apocalyptic number.

189166752 is a gapful number since it is divisible by the number (12) 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 189166752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301311738).

189166752 is an abundant number, since it is smaller than the sum of its proper divisors (413456724).

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

189166752 is an frugal number, since it uses more digits than its factorization.

189166752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 75 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 189166752 is about 13753.7904593606. The cubic root of 189166752 is about 574.0480804056.

The spelling of 189166752 in words is "one hundred eighty-nine million, one hundred sixty-six thousand, seven hundred fifty-two".