1125937584 has 160 divisors (see below), whose sum is σ = 3416448000. Its totient is φ = 358737984.

The previous prime is 1125937559. The next prime is 1125937601. The reversal of 1125937584 is 4857395211.

1125937584 is a `hidden beast` number, since 1 + 1 + 2 + 593 + 7 + 58 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 804117 + ... + 805515.

It is an arithmetic number, because the mean of its divisors is an integer number (21352800).

Almost surely, 2^1125937584 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 1125937584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708224000).

1125937584 is an abundant number, since it is smaller than the sum of its proper divisors (2290510416).

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

1125937584 is an equidigital number, since it uses as much as digits as its factorization.

1125937584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1427 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 1125937584 is about 33554.9934286985. The cubic root of 1125937584 is about 1040.3307577150.

The spelling of 1125937584 in words is "one billion, one hundred twenty-five million, nine hundred thirty-seven thousand, five hundred eighty-four".