189081144 has 96 divisors (see below), whose sum is σ = 589680000. Its totient is φ = 53614656.

The previous prime is 189081133. The next prime is 189081163. The reversal of 189081144 is 441180981.

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

It is a junction number, because it is equal to n+sod(n) for n = 189081099 and 189081108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68707 + ... + 71405.

It is an arithmetic number, because the mean of its divisors is an integer number (6142500).

Almost surely, 2^189081144 is an apocalyptic number.

189081144 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 189081144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294840000).

189081144 is an abundant number, since it is smaller than the sum of its proper divisors (400598856).

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

189081144 is a wasteful number, since it uses less digits than its factorization.

189081144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 189081144 is about 13750.6779469232. The cubic root of 189081144 is about 573.9614715931.

It can be divided in two parts, 189081 and 144, that added together give a square (189225 = 435²).

The spelling of 189081144 in words is "one hundred eighty-nine million, eighty-one thousand, one hundred forty-four".