4005135945 has 24 divisors (see below), whose sum is σ = 7009644096. Its totient is φ = 2115331488.

The previous prime is 4005135941. The next prime is 4005135997. The reversal of 4005135945 is 5495315004.

It is not a de Polignac number, because 4005135945 - 2² = 4005135941 is a prime.

It is a super-2 number, since 2×4005135945² = 32082227875862086050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4005135941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427419 + ... + 436688.

It is an arithmetic number, because the mean of its divisors is an integer number (292068504).

Almost surely, 2^4005135945 is an apocalyptic number.

4005135945 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4005135945 is a deficient number, since it is larger than the sum of its proper divisors (3004508151).

4005135945 is a wasteful number, since it uses less digits than its factorization.

4005135945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864221 (or 864218 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 4005135945 is about 63286.1433885807. The cubic root of 4005135945 is about 1588.0801617699.

The spelling of 4005135945 in words is "four billion, five million, one hundred thirty-five thousand, nine hundred forty-five".