188145 has 24 divisors (see below), whose sum is σ = 337896. Its totient is φ = 96768.

The previous prime is 188143. The next prime is 188147. The reversal of 188145 is 541881.

It is an interprime number because it is at equal distance from previous prime (188143) and next prime (188147).

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 178929 = 96^2 + 423^2 .

It is not a de Polignac number, because 188145 - 2¹ = 188143 is a prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 188145.

It is not an unprimeable number, because it can be changed into a prime (188143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1609 + ... + 1721.

It is an arithmetic number, because the mean of its divisors is an integer number (14079).

2¹⁸⁸¹⁴⁵ is an apocalyptic number.

188145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

188145 is a deficient number, since it is larger than the sum of its proper divisors (149751).

188145 is a wasteful number, since it uses less digits than its factorization.

188145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 158 counting only the distinct ones).

The product of its digits is 1280, while the sum is 27.

The square root of 188145 is about 433.7568443264. The cubic root of 188145 is about 57.3012672983.

It can be divided in two parts, 188 and 145, that added together give a palindrome (333).

The spelling of 188145 in words is "one hundred eighty-eight thousand, one hundred forty-five".