1125737760 has 288 divisors, whose sum is σ = 4306442112. Its totient is φ = 246005760.

The previous prime is 1125737741. The next prime is 1125737777. The reversal of 1125737760 is 677375211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 539920 + ... + 542000.

It is an arithmetic number, because the mean of its divisors is an integer number (14952924).

Almost surely, 2^1125737760 is an apocalyptic number.

1125737760 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 1125737760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153221056).

1125737760 is an abundant number, since it is smaller than the sum of its proper divisors (3180704352).

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

1125737760 is a wasteful number, since it uses less digits than its factorization.

1125737760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 39.

The square root of 1125737760 is about 33552.0157367631. The cubic root of 1125737760 is about 1040.2692103861.

The spelling of 1125737760 in words is "one billion, one hundred twenty-five million, seven hundred thirty-seven thousand, seven hundred sixty".