1125675600 has 240 divisors, whose sum is σ = 4264072320. Its totient is φ = 248371200.

The previous prime is 1125675589. The next prime is 1125675613. The reversal of 1125675600 is 65765211.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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, 241290 + ... + 245910.

It is an arithmetic number, because the mean of its divisors is an integer number (17766968).

Almost surely, 2^1125675600 is an apocalyptic number.

1125675600 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 1125675600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132036160).

1125675600 is an abundant number, since it is smaller than the sum of its proper divisors (3138396720).

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

1125675600 is a wasteful number, since it uses less digits than its factorization.

1125675600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4678 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 1125675600 is about 33551.0894010910. The cubic root of 1125675600 is about 1040.2500631428.

The spelling of 1125675600 in words is "one billion, one hundred twenty-five million, six hundred seventy-five thousand, six hundred".