189148960 has 192 divisors, whose sum is σ = 600493824. Its totient is φ = 54374400.

The previous prime is 189148951. The next prime is 189148963. The reversal of 189148960 is 69841981.

It is a self number, because there is not a number n which added to its sum of digits gives 189148960.

It is not an unprimeable number, because it can be changed into a prime (189148963) 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, 159570 + ... + 160750.

It is an arithmetic number, because the mean of its divisors is an integer number (3127572).

Almost surely, 2^189148960 is an apocalyptic number.

189148960 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 189148960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300246912).

189148960 is an abundant number, since it is smaller than the sum of its proper divisors (411344864).

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

189148960 is a wasteful number, since it uses less digits than its factorization.

189148960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 46.

The square root of 189148960 is about 13753.1436406372. The cubic root of 189148960 is about 574.0300825570.

The spelling of 189148960 in words is "one hundred eighty-nine million, one hundred forty-eight thousand, nine hundred sixty".