268136136028152 has 192 divisors, whose sum is σ = 882108322368000. Its totient is φ = 71873559228672.

The previous prime is 268136136028121. The next prime is 268136136028157. The reversal of 268136136028152 is 251820631631862.

268136136028152 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 3 + 6 + 13 + 602 + 8 + 15 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268136136028157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134940127 + ... + 136912782.

It is an arithmetic number, because the mean of its divisors is an integer number (4594314179000).

Almost surely, 2^{268136136028152} is an apocalyptic number.

It is an amenable number.

268136136028152 is an abundant number, since it is smaller than the sum of its proper divisors (613972186339848).

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

268136136028152 is a wasteful number, since it uses less digits than its factorization.

268136136028152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271853050 (or 271853043 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 268136136028152 in words is "two hundred sixty-eight trillion, one hundred thirty-six billion, one hundred thirty-six million, twenty-eight thousand, one hundred fifty-two".