7135120656 has 80 divisors (see below), whose sum is σ = 20599038720. Its totient is φ = 2364600960.

The previous prime is 7135120637. The next prime is 7135120709. The reversal of 7135120656 is 6560215317.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7135120656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27001 + ... + 122471.

It is an arithmetic number, because the mean of its divisors is an integer number (257487984).

Almost surely, 2^7135120656 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 7135120656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10299519360).

7135120656 is an abundant number, since it is smaller than the sum of its proper divisors (13463918064).

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

7135120656 is a wasteful number, since it uses less digits than its factorization.

7135120656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95661 (or 95649 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 7135120656 is about 84469.6433992710. The cubic root of 7135120656 is about 1925.1612306402.

The spelling of 7135120656 in words is "seven billion, one hundred thirty-five million, one hundred twenty thousand, six hundred fifty-six".