189750 has 64 divisors (see below), whose sum is σ = 539136. Its totient is φ = 44000.

The previous prime is 189743. The next prime is 189757. The reversal of 189750 is 57981.

189750 = T₇₀ + T₇₁ + ... + T₁₁₃.

189750 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (189743) and next prime (189757).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189757) by changing a digit.

189750 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8239 + ... + 8261.

It is an arithmetic number, because the mean of its divisors is an integer number (8424).

2¹⁸⁹⁷⁵⁰ is an apocalyptic number.

189750 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 189750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269568).

189750 is an abundant number, since it is smaller than the sum of its proper divisors (349386).

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

189750 is a wasteful number, since it uses less digits than its factorization.

189750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 189750 is about 435.6030302925. The cubic root of 189750 is about 57.4637452615.

Subtracting from 189750 its reverse (57981), we obtain a square (131769 = 363²).

It can be divided in two parts, 189 and 750, that added together give a palindrome (939).

The spelling of 189750 in words is "one hundred eighty-nine thousand, seven hundred fifty".