1125544000 has 224 divisors, whose sum is σ = 3233318400. Its totient is φ = 380160000.

The previous prime is 1125543997. The next prime is 1125544019. The reversal of 1125544000 is 4455211.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5655901 + ... + 5656099.

Almost surely, 2^1125544000 is an apocalyptic number.

1125544000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616659200).

1125544000 is an abundant number, since it is smaller than the sum of its proper divisors (2107774400).

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

1125544000 is a wasteful number, since it uses less digits than its factorization.

1125544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 1125544000 is about 33549.1281555870. The cubic root of 1125544000 is about 1040.2095238603.

Adding to 1125544000 its reverse (4455211), we get a palindrome (1129999211).

It can be divided in two parts, 11255 and 44000, that added together give a palindrome (55255).

The spelling of 1125544000 in words is "one billion, one hundred twenty-five million, five hundred forty-four thousand".