45188 has 24 divisors (see below), whose sum is σ = 94080. Its totient is φ = 18720.

The previous prime is 45181. The next prime is 45191. The reversal of 45188 is 88154.

45188 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 533 + ... + 611.

It is an arithmetic number, because the mean of its divisors is an integer number (3920).

2⁴⁵¹⁸⁸ is an apocalyptic number.

It is an amenable number.

45188 is an abundant number, since it is smaller than the sum of its proper divisors (48892).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47040).

45188 is a wasteful number, since it uses less digits than its factorization.

45188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 105 counting only the distinct ones).

The product of its digits is 1280, while the sum is 26.

The square root of 45188 is about 212.5746927553. The cubic root of 45188 is about 35.6183972579.

The spelling of 45188 in words is "forty-five thousand, one hundred eighty-eight".