189501120 has 168 divisors, whose sum is σ = 676223184. Its totient is φ = 50512896.

The previous prime is 189501107. The next prime is 189501121. The reversal of 189501120 is 21105981.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (189501121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76542 + ... + 78978.

It is an arithmetic number, because the mean of its divisors is an integer number (4025138).

Almost surely, 2^189501120 is an apocalyptic number.

189501120 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 189501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338111592).

189501120 is an abundant number, since it is smaller than the sum of its proper divisors (486722064).

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

189501120 is an equidigital number, since it uses as much as digits as its factorization.

189501120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 189501120 is about 13765.9405781080. The cubic root of 189501120 is about 574.3861072620.

The spelling of 189501120 in words is "one hundred eighty-nine million, five hundred one thousand, one hundred twenty".