268127145 has 256 divisors, whose sum is σ = 638668800. Its totient is φ = 104509440.

The previous prime is 268127117. The next prime is 268127149. The reversal of 268127145 is 541721862.

It is not a de Polignac number, because 268127145 - 2⁶ = 268127081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (268127149) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 6235494 + ... + 6235536.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 2^268127145 is an apocalyptic number.

It is an amenable number.

268127145 is an abundant number, since it is smaller than the sum of its proper divisors (370541655).

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

268127145 is a wasteful number, since it uses less digits than its factorization.

268127145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 111 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 268127145 is about 16374.5883917734. The cubic root of 268127145 is about 644.8325146528.

The spelling of 268127145 in words is "two hundred sixty-eight million, one hundred twenty-seven thousand, one hundred forty-five".