1125558000 has 240 divisors, whose sum is σ = 4493301696. Its totient is φ = 257241600.

The previous prime is 1125557989. The next prime is 1125558011. The reversal of 1125558000 is 8555211.

It is an interprime number because it is at equal distance from previous prime (1125557989) and next prime (1125558011).

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

It is a super-3 number, since 3×1125558000³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121534 + ... + 130466.

Almost surely, 2^1125558000 is an apocalyptic number.

1125558000 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 1125558000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246650848).

1125558000 is an abundant number, since it is smaller than the sum of its proper divisors (3367743696).

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

1125558000 is a wasteful number, since it uses less digits than its factorization.

1125558000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8969 (or 8950 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 1125558000 is about 33549.3368041754. The cubic root of 1125558000 is about 1040.2138367002.

The spelling of 1125558000 in words is "one billion, one hundred twenty-five million, five hundred fifty-eight thousand".