13258140736 has 63 divisors (see below), whose sum is σ = 27109086879. Its totient is φ = 6433325568.

The previous prime is 13258140713. The next prime is 13258140737. The reversal of 13258140736 is 63704185231.

The square root of 13258140736 is 115144.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 411278400 + 12846862336 = 20280^2 + 113344^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13258140737) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34082430 + ... + 34082818.

Almost surely, 2^13258140736 is an apocalyptic number.

13258140736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13258140736 is the 115144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13258140736

13258140736 is an abundant number, since it is smaller than the sum of its proper divisors (13850946143).

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

13258140736 is an frugal number, since it uses more digits than its factorization.

13258140736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 13258140736 in words is "thirteen billion, two hundred fifty-eight million, one hundred forty thousand, seven hundred thirty-six".