7135842168 has 288 divisors, whose sum is σ = 24389688960. Its totient is φ = 1868106240.

The previous prime is 7135842139. The next prime is 7135842193. The reversal of 7135842168 is 8612485317.

7135842168 is a `hidden beast` number, since 7 + 1 + 3 + 584 + 2 + 1 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 7200153 + ... + 7201143.

It is an arithmetic number, because the mean of its divisors is an integer number (84686420).

Almost surely, 2^7135842168 is an apocalyptic number.

7135842168 is a gapful number since it is divisible by the number (78) 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 7135842168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12194844480).

7135842168 is an abundant number, since it is smaller than the sum of its proper divisors (17253846792).

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

7135842168 is a wasteful number, since it uses less digits than its factorization.

7135842168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1173 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 7135842168 is about 84473.9141273802. The cubic root of 7135842168 is about 1925.2261199943.

It can be divided in two parts, 71358 and 42168, that added together give a triangular number (113526 = T₄₇₆).

The spelling of 7135842168 in words is "seven billion, one hundred thirty-five million, eight hundred forty-two thousand, one hundred sixty-eight".