54135 has 16 divisors (see below), whose sum is σ = 96480. Its totient is φ = 28800.

The previous prime is 54133. The next prime is 54139. The reversal of 54135 is 53145.

It is not a de Polignac number, because 54135 - 2¹ = 54133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66 + ... + 335.

It is an arithmetic number, because the mean of its divisors is an integer number (6030).

2⁵⁴¹³⁵ is an apocalyptic number.

54135 is a deficient number, since it is larger than the sum of its proper divisors (42345).

54135 is a wasteful number, since it uses less digits than its factorization.

54135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 409 counting only the distinct ones).

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

The square root of 54135 is about 232.6692932039. The cubic root of 54135 is about 37.8291033111.

Subtracting from 54135 its product of digits (300), we obtain a palindrome (53835).

Subtracting from 54135 its reverse (53145), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 541 and 35, that added together give a square (576 = 24²).

The spelling of 54135 in words is "fifty-four thousand, one hundred thirty-five".