75135 has 8 divisors (see below), whose sum is σ = 120240. Its totient is φ = 40064.

The previous prime is 75133. The next prime is 75149. The reversal of 75135 is 53157.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 75135 - 2¹ = 75133 is a prime.

75135 is a modest number, since divided by 135 gives 75 as remainder.

It is a plaindrome in base 8 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75133) 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 7 ways as a sum of consecutive naturals, for example, 2490 + ... + 2519.

It is an arithmetic number, because the mean of its divisors is an integer number (15030).

2⁷⁵¹³⁵ is an apocalyptic number.

75135 is a deficient number, since it is larger than the sum of its proper divisors (45105).

75135 is a wasteful number, since it uses less digits than its factorization.

75135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5017.

The product of its digits is 525, while the sum is 21.

The square root of 75135 is about 274.1076430894. The cubic root of 75135 is about 42.1969210784.

It can be divided in two parts, 75 and 135, that added together give a triangular number (210 = T₂₀).

The spelling of 75135 in words is "seventy-five thousand, one hundred thirty-five".