189342144 has 224 divisors, whose sum is σ = 601472000. Its totient is φ = 58226688.

The previous prime is 189342143. The next prime is 189342169. The reversal of 189342144 is 441243981.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (27648) is a multiple of the sum of its prime factors (192).

It is a junction number, because it is equal to n+sod(n) for n = 189342099 and 189342108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189342143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2396697 + ... + 2396775.

Almost surely, 2^189342144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300736000).

189342144 is an abundant number, since it is smaller than the sum of its proper divisors (412129856).

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

189342144 is a wasteful number, since it uses less digits than its factorization.

189342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 176 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 189342144 is about 13760.1651152884. The cubic root of 189342144 is about 574.2254412765.

The spelling of 189342144 in words is "one hundred eighty-nine million, three hundred forty-two thousand, one hundred forty-four".