45135 has 24 divisors (see below), whose sum is σ = 84240. Its totient is φ = 22272.

The previous prime is 45131. The next prime is 45137. The reversal of 45135 is 53154.

45135 = 93² + 94² + ... + 97².

45135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45135 - 2² = 45131 is a prime.

45135 is a modest number, since divided by 135 gives 45 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45131) 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, 736 + ... + 794.

It is an arithmetic number, because the mean of its divisors is an integer number (3510).

2⁴⁵¹³⁵ is an apocalyptic number.

45135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45135 is a deficient number, since it is larger than the sum of its proper divisors (39105).

45135 is a wasteful number, since it uses less digits than its factorization.

45135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 84 counting only the distinct ones).

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

The square root of 45135 is about 212.4499941163. The cubic root of 45135 is about 35.6044664682.

Adding to 45135 its reverse (53154), we get a palindrome (98289).

The spelling of 45135 in words is "forty-five thousand, one hundred thirty-five".