189001350 has 120 divisors (see below), whose sum is σ = 548246160. Its totient is φ = 48185280.

The previous prime is 189001301. The next prime is 189001357. The reversal of 189001350 is 53100981.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189001357) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 92136 + ... + 94164.

It is an arithmetic number, because the mean of its divisors is an integer number (4568718).

Almost surely, 2^189001350 is an apocalyptic number.

189001350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 189001350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274123080).

189001350 is an abundant number, since it is smaller than the sum of its proper divisors (359244810).

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

189001350 is a wasteful number, since it uses less digits than its factorization.

189001350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 189001350 is about 13747.7761838051. The cubic root of 189001350 is about 573.8807212079.

The spelling of 189001350 in words is "one hundred eighty-nine million, one thousand, three hundred fifty".