13135875 has 32 divisors (see below), whose sum is σ = 22823424. Its totient is φ = 6696800.

The previous prime is 13135873. The next prime is 13135877. The reversal of 13135875 is 57853131.

It is an interprime number because it is at equal distance from previous prime (13135873) and next prime (13135877).

It is not a de Polignac number, because 13135875 - 2¹ = 13135873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13135873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7864 + ... + 9386.

It is an arithmetic number, because the mean of its divisors is an integer number (713232).

Almost surely, 2^13135875 is an apocalyptic number.

13135875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13135875 is a deficient number, since it is larger than the sum of its proper divisors (9687549).

13135875 is a wasteful number, since it uses less digits than its factorization.

13135875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1554 counting only the distinct ones).

The product of its digits is 12600, while the sum is 33.

The square root of 13135875 is about 3624.3447683685. The cubic root of 13135875 is about 235.9498301379.

The spelling of 13135875 in words is "thirteen million, one hundred thirty-five thousand, eight hundred seventy-five".