189451296 has 72 divisors (see below), whose sum is σ = 540176364. Its totient is φ = 62983680.

The previous prime is 189451289. The next prime is 189451303. The reversal of 189451296 is 692154981.

It is an interprime number because it is at equal distance from previous prime (189451289) and next prime (189451303).

It can be written as a sum of positive squares in 2 ways, for example, as 189447696 + 3600 = 13764^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 159826 + ... + 161006.

Almost surely, 2^189451296 is an apocalyptic number.

189451296 is a gapful number since it is divisible by the number (16) 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 189451296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270088182).

189451296 is an abundant number, since it is smaller than the sum of its proper divisors (350725068).

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

189451296 is a wasteful number, since it uses less digits than its factorization.

189451296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1743 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 189451296 is about 13764.1307753160. The cubic root of 189451296 is about 574.3357632818.

The spelling of 189451296 in words is "one hundred eighty-nine million, four hundred fifty-one thousand, two hundred ninety-six".