189125760 has 128 divisors (see below), whose sum is σ = 608083200. Its totient is φ = 49995776.

The previous prime is 189125749. The next prime is 189125767. The reversal of 189125760 is 67521981.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189125767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262681 + ... + 263399.

It is an arithmetic number, because the mean of its divisors is an integer number (4750650).

Almost surely, 2^189125760 is an apocalyptic number.

189125760 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 189125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304041600).

189125760 is an abundant number, since it is smaller than the sum of its proper divisors (418957440).

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

189125760 is a wasteful number, since it uses less digits than its factorization.

189125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 189125760 is about 13752.3001712441. The cubic root of 189125760 is about 574.0066124439.

The spelling of 189125760 in words is "one hundred eighty-nine million, one hundred twenty-five thousand, seven hundred sixty".