7813060307136 has 336 divisors, whose sum is σ = 27398100387840. Its totient is φ = 2160292239360.

The previous prime is 7813060307123. The next prime is 7813060307137. The reversal of 7813060307136 is 6317030603187.

It is a happy number.

7813060307136 is a `hidden beast` number, since 7 + 8 + 1 + 3 + 0 + 603 + 0 + 7 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×7813060307136² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7813060307091 and 7813060307100.

It is not an unprimeable number, because it can be changed into a prime (7813060307137) 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, 2217220 + ... + 4532348.

It is an arithmetic number, because the mean of its divisors is an integer number (81541965440).

Almost surely, 2^{7813060307136} 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 7813060307136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13699050193920).

7813060307136 is an abundant number, since it is smaller than the sum of its proper divisors (19585040080704).

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

7813060307136 is a wasteful number, since it uses less digits than its factorization.

7813060307136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315194 (or 2315172 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 7813060307136 in words is "seven trillion, eight hundred thirteen billion, sixty million, three hundred seven thousand, one hundred thirty-six".