13139608752 has 120 divisors (see below), whose sum is σ = 38672524800. Its totient is φ = 4318090560.

The previous prime is 13139608723. The next prime is 13139608777. The reversal of 13139608752 is 25780693131.

13139608752 is a `hidden beast` number, since 1 + 3 + 1 + 39 + 608 + 7 + 5 + 2 = 666.

It is a super-3 number, since 3×13139608752³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13139608698 and 13139608707.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252249 + ... + 299847.

It is an arithmetic number, because the mean of its divisors is an integer number (322271040).

Almost surely, 2^13139608752 is an apocalyptic number.

13139608752 is a gapful number since it is divisible by the number (12) 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 13139608752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19336262400).

13139608752 is an abundant number, since it is smaller than the sum of its proper divisors (25532916048).

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

13139608752 is an equidigital number, since it uses as much as digits as its factorization.

13139608752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47693 (or 47675 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 13139608752 in words is "thirteen billion, one hundred thirty-nine million, six hundred eight thousand, seven hundred fifty-two".