13138810740 has 672 divisors, whose sum is σ = 49181852160. Its totient is φ = 2911334400.

The previous prime is 13138810733. The next prime is 13138810747. The reversal of 13138810740 is 4701883131.

13138810740 is a `hidden beast` number, since 131 + 388 + 107 + 40 = 666.

13138810740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13138810733) and next prime (13138810747).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13138810695 and 13138810704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13138810747) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 166314021 + ... + 166314099.

It is an arithmetic number, because the mean of its divisors is an integer number (73187280).

Almost surely, 2^13138810740 is an apocalyptic number.

13138810740 is a gapful number since it is divisible by the number (10) 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 13138810740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24590926080).

13138810740 is an abundant number, since it is smaller than the sum of its proper divisors (36043041420).

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

13138810740 is a wasteful number, since it uses less digits than its factorization.

13138810740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 13138810740 in words is "thirteen billion, one hundred thirty-eight million, eight hundred ten thousand, seven hundred forty".