456135 has 16 divisors (see below), whose sum is σ = 746496. Its totient is φ = 237728.

The previous prime is 456119. The next prime is 456149. The reversal of 456135 is 531654.

It is a cyclic number.

It is not a de Polignac number, because 456135 - 2⁴ = 456119 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382 + ... + 1028.

It is an arithmetic number, because the mean of its divisors is an integer number (46656).

2⁴⁵⁶¹³⁵ is an apocalyptic number.

456135 is a deficient number, since it is larger than the sum of its proper divisors (290361).

456135 is a wasteful number, since it uses less digits than its factorization.

456135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702.

The product of its digits is 1800, while the sum is 24.

The square root of 456135 is about 675.3776721213. The cubic root of 456135 is about 76.9776176020.

Adding to 456135 its reverse (531654), we get a palindrome (987789).

The spelling of 456135 in words is "four hundred fifty-six thousand, one hundred thirty-five".