7138165056 has 224 divisors, whose sum is σ = 21088843776. Its totient is φ = 2112768000.

The previous prime is 7138165051. The next prime is 7138165063. The reversal of 7138165056 is 6505618317.

It is a junction number, because it is equal to n+sod(n) for n = 7138164999 and 7138165017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7138165051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27141181 + ... + 27141443.

It is an arithmetic number, because the mean of its divisors is an integer number (94146624).

Almost surely, 2^7138165056 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 7138165056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10544421888).

7138165056 is an abundant number, since it is smaller than the sum of its proper divisors (13950678720).

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

7138165056 is a wasteful number, since it uses less digits than its factorization.

7138165056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 7138165056 is about 84487.6621525297. The cubic root of 7138165056 is about 1925.4349997769.

The spelling of 7138165056 in words is "seven billion, one hundred thirty-eight million, one hundred sixty-five thousand, fifty-six".