4005123135 has 32 divisors (see below), whose sum is σ = 6998358528. Its totient is φ = 1943975040.

The previous prime is 4005123079. The next prime is 4005123163. The reversal of 4005123135 is 5313215004.

It is not a de Polignac number, because 4005123135 - 2¹⁷ = 4004992063 is a prime.

It is a super-5 number, since 5×4005123135⁵ (a number of 49 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130797 + ... + 158486.

It is an arithmetic number, because the mean of its divisors is an integer number (218698704).

Almost surely, 2^4005123135 is an apocalyptic number.

4005123135 is a deficient number, since it is larger than the sum of its proper divisors (2993235393).

4005123135 is a wasteful number, since it uses less digits than its factorization.

4005123135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289375.

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

The square root of 4005123135 is about 63286.0421815111. The cubic root of 4005123135 is about 1588.0784686664.

Adding to 4005123135 its reverse (5313215004), we get a palindrome (9318338139).

The spelling of 4005123135 in words is "four billion, five million, one hundred twenty-three thousand, one hundred thirty-five".