189612900 has 243 divisors, whose sum is σ = 655597579. Its totient is φ = 47589120.

The previous prime is 189612893. The next prime is 189612911. The reversal of 189612900 is 9216981.

The square root of 189612900 is 13770.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4435236 + 185177664 = 2106^2 + 13608^2 .

It is a tau number, because it is divible by the number of its divisors (243).

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 (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11153692 + ... + 11153708.

Almost surely, 2^189612900 is an apocalyptic number.

189612900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

189612900 is the 13770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189612900

189612900 is an abundant number, since it is smaller than the sum of its proper divisors (465984679).

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

189612900 is an equidigital number, since it uses as much as digits as its factorization.

189612900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The cubic root of 189612900 is about 574.4990217382.

Multiplying 189612900 by its sum of digits (36), we get a square (6826064400 = 82620²).

189612900 divided by its sum of digits (36) gives a square (5267025 = 2295²).

It can be divided in two parts, 189 and 612900, that added together give a square (613089 = 783²).

The spelling of 189612900 in words is "one hundred eighty-nine million, six hundred twelve thousand, nine hundred".