45153 has 12 divisors (see below), whose sum is σ = 67860. Its totient is φ = 28896.

The previous prime is 45139. The next prime is 45161. The reversal of 45153 is 35154.

It can be written as a sum of positive squares in 2 ways, for example, as 33489 + 11664 = 183^2 + 108^2 .

It is not a de Polignac number, because 45153 - 2⁴ = 45137 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45153.

It is not an unprimeable number, because it can be changed into a prime (45053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175 + ... + 347.

It is an arithmetic number, because the mean of its divisors is an integer number (5655).

2⁴⁵¹⁵³ is an apocalyptic number.

It is an amenable number.

45153 is a deficient number, since it is larger than the sum of its proper divisors (22707).

45153 is a wasteful number, since it uses less digits than its factorization.

45153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 205 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 45153 is about 212.4923528036. The cubic root of 45153 is about 35.6091989021.

Subtracting from 45153 its reverse (35154), we obtain a palindrome (9999).

The spelling of 45153 in words is "forty-five thousand, one hundred fifty-three".