68135120 has 20 divisors (see below), whose sum is σ = 158414340. Its totient is φ = 27254016.

The previous prime is 68135087. The next prime is 68135149. The reversal of 68135120 is 2153186.

It can be written as a sum of positive squares in 2 ways, for example, as 43612816 + 24522304 = 6604^2 + 4952^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 68135120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 425765 + ... + 425924.

It is an arithmetic number, because the mean of its divisors is an integer number (7920717).

Almost surely, 2^68135120 is an apocalyptic number.

It is an amenable number.

68135120 is an abundant number, since it is smaller than the sum of its proper divisors (90279220).

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

68135120 is a wasteful number, since it uses less digits than its factorization.

68135120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851702 (or 851696 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 68135120 is about 8254.4000387672. The cubic root of 68135120 is about 408.4356809484.

The spelling of 68135120 in words is "sixty-eight million, one hundred thirty-five thousand, one hundred twenty".