189531520 has 128 divisors (see below), whose sum is σ = 481178880. Its totient is φ = 71270400.

The previous prime is 189531497. The next prime is 189531527. The reversal of 189531520 is 25135981.

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 (189531527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 813324 + ... + 813556.

It is an arithmetic number, because the mean of its divisors is an integer number (3759210).

Almost surely, 2^189531520 is an apocalyptic number.

189531520 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 189531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240589440).

189531520 is an abundant number, since it is smaller than the sum of its proper divisors (291647360).

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

189531520 is a wasteful number, since it uses less digits than its factorization.

189531520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The square root of 189531520 is about 13767.0447082880. The cubic root of 189531520 is about 574.4168201922.

The spelling of 189531520 in words is "one hundred eighty-nine million, five hundred thirty-one thousand, five hundred twenty".