1125417600 has 288 divisors, whose sum is σ = 4192812000. Its totient is φ = 286894080.

The previous prime is 1125417581. The next prime is 1125417653. The reversal of 1125417600 is 67145211.

It is a happy number.

1125417600 is a `hidden beast` number, since 1 + 1 + 2 + 54 + 1 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 661551 + ... + 663249.

It is an arithmetic number, because the mean of its divisors is an integer number (14558375).

Almost surely, 2^1125417600 is an apocalyptic number.

1125417600 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 1125417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096406000).

1125417600 is an abundant number, since it is smaller than the sum of its proper divisors (3067394400).

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

1125417600 is a wasteful number, since it uses less digits than its factorization.

1125417600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1125417600 is about 33547.2442981536. The cubic root of 1125417600 is about 1040.1705834588.

It can be divided in two parts, 1 and 125417600, that added together give a square (125417601 = 11199²).

The spelling of 1125417600 in words is "one billion, one hundred twenty-five million, four hundred seventeen thousand, six hundred".