6415813134 has 96 divisors (see below), whose sum is σ = 14683638528. Its totient is φ = 2021760000.

The previous prime is 6415813121. The next prime is 6415813153. The reversal of 6415813134 is 4313185146.

6415813134 is a `hidden beast` number, since 6 + 41 + 581 + 3 + 1 + 34 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11858904 + ... + 11859444.

It is an arithmetic number, because the mean of its divisors is an integer number (152954568).

Almost surely, 2^6415813134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6415813134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7341819264).

6415813134 is an abundant number, since it is smaller than the sum of its proper divisors (8267825394).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6415813134 is a wasteful number, since it uses less digits than its factorization.

6415813134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1031 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 6415813134 is about 80098.7711141688. The cubic root of 6415813134 is about 1858.1634021605.

The spelling of 6415813134 in words is "six billion, four hundred fifteen million, eight hundred thirteen thousand, one hundred thirty-four".