45152 has 24 divisors (see below), whose sum is σ = 95256. Its totient is φ = 20992.

The previous prime is 45139. The next prime is 45161. The reversal of 45152 is 25154.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 45152.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45152.

It is an unprimeable number.

45152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 503 + ... + 585.

It is an arithmetic number, because the mean of its divisors is an integer number (3969).

2⁴⁵¹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47628).

45152 is an abundant number, since it is smaller than the sum of its proper divisors (50104).

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

45152 is a wasteful number, since it uses less digits than its factorization.

45152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 102 counting only the distinct ones).

The product of its digits is 200, while the sum is 17.

The square root of 45152 is about 212.4899997647. The cubic root of 45152 is about 35.6089360221.

The spelling of 45152 in words is "forty-five thousand, one hundred fifty-two".