1256126144 has 56 divisors (see below), whose sum is σ = 3067860768. Its totient is φ = 496926720.

The previous prime is 1256126087. The next prime is 1256126159. The reversal of 1256126144 is 4416216521.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1256126144.

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 7 ways as a sum of consecutive naturals, for example, 102017 + ... + 113664.

It is an arithmetic number, because the mean of its divisors is an integer number (54783228).

Almost surely, 2^1256126144 is an apocalyptic number.

1256126144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1256126144 is an abundant number, since it is smaller than the sum of its proper divisors (1811734624).

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

1256126144 is a wasteful number, since it uses less digits than its factorization.

1256126144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215713 (or 215703 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 1256126144 is about 35441.8699280949. The cubic root of 1256126144 is about 1078.9742615878.

The spelling of 1256126144 in words is "one billion, two hundred fifty-six million, one hundred twenty-six thousand, one hundred forty-four".