5135957736 has 192 divisors, whose sum is σ = 16605550080. Its totient is φ = 1310722560.

The previous prime is 5135957731. The next prime is 5135957789. The reversal of 5135957736 is 6377595315.

It is not an unprimeable number, because it can be changed into a prime (5135957731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 468510 + ... + 479346.

It is an arithmetic number, because the mean of its divisors is an integer number (86487240).

Almost surely, 2^5135957736 is an apocalyptic number.

5135957736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5135957736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8302775040).

5135957736 is an abundant number, since it is smaller than the sum of its proper divisors (11469592344).

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

5135957736 is a wasteful number, since it uses less digits than its factorization.

5135957736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10904 (or 10893 counting only the distinct ones).

The product of its digits is 2976750, while the sum is 51.

The square root of 5135957736 is about 71665.5965997633. The cubic root of 5135957736 is about 1725.3365147304.

The spelling of 5135957736 in words is "five billion, one hundred thirty-five million, nine hundred fifty-seven thousand, seven hundred thirty-six".