5136742720 has 224 divisors, whose sum is σ = 13598956800. Its totient is φ = 1839366144.

The previous prime is 5136742693. The next prime is 5136742757. The reversal of 5136742720 is 272476315.

It is a happy number.

It is a super-2 number, since 2×5136742720² = 52772251542945996800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5136742720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15242392 + ... + 15242728.

Almost surely, 2^5136742720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5136742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6799478400).

5136742720 is an abundant number, since it is smaller than the sum of its proper divisors (8462214080).

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

5136742720 is a wasteful number, since it uses less digits than its factorization.

5136742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The square root of 5136742720 is about 71671.0731048447. The cubic root of 5136742720 is about 1725.4244108693.

The spelling of 5136742720 in words is "five billion, one hundred thirty-six million, seven hundred forty-two thousand, seven hundred twenty".