189319140 has 192 divisors, whose sum is σ = 640120320. Its totient is φ = 46264320.

The previous prime is 189319129. The next prime is 189319219. The reversal of 189319140 is 41913981.

189319140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 189319095 and 189319104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 376129 + ... + 376631.

It is an arithmetic number, because the mean of its divisors is an integer number (3333960).

Almost surely, 2^189319140 is an apocalyptic number.

189319140 is a gapful number since it is divisible by the number (10) 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 189319140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320060160).

189319140 is an abundant number, since it is smaller than the sum of its proper divisors (450801180).

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

189319140 is a wasteful number, since it uses less digits than its factorization.

189319140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 571 counting only the distinct ones).

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

The square root of 189319140 is about 13759.3291987655. The cubic root of 189319140 is about 574.2021852864.

The spelling of 189319140 in words is "one hundred eighty-nine million, three hundred nineteen thousand, one hundred forty".