135058904968 has 64 divisors (see below), whose sum is σ = 276992352000. Its totient is φ = 61361943552.

The previous prime is 135058904933. The next prime is 135058904977. The reversal of 135058904968 is 869409850531.

It is a super-2 number, since 2×135058904968² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2744403 + ... + 2793181.

It is an arithmetic number, because the mean of its divisors is an integer number (4328005500).

Almost surely, 2^135058904968 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 135058904968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138496176000).

135058904968 is an abundant number, since it is smaller than the sum of its proper divisors (141933447032).

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

135058904968 is a wasteful number, since it uses less digits than its factorization.

135058904968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49214 (or 49210 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 58.

The spelling of 135058904968 in words is "one hundred thirty-five billion, fifty-eight million, nine hundred four thousand, nine hundred sixty-eight".