1125126144 has 156 divisors (see below), whose sum is σ = 3393826176. Its totient is φ = 358465536.

The previous prime is 1125126143. The next prime is 1125126157. The reversal of 1125126144 is 4416215211.

1125126144 is a `hidden beast` number, since 1 + 1 + 2 + 512 + 6 + 144 = 666.

It is not an unprimeable number, because it can be changed into a prime (1125126143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 847209 + ... + 848535.

It is an arithmetic number, because the mean of its divisors is an integer number (21755296).

Almost surely, 2^1125126144 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 1125126144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696913088).

1125126144 is an abundant number, since it is smaller than the sum of its proper divisors (2268700032).

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

1125126144 is a wasteful number, since it uses less digits than its factorization.

1125126144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1355 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 1125126144 is about 33542.9000535136. The cubic root of 1125126144 is about 1040.0807826796.

The spelling of 1125126144 in words is "one billion, one hundred twenty-five million, one hundred twenty-six thousand, one hundred forty-four".