1125355200 has 168 divisors, whose sum is σ = 3731709072. Its totient is φ = 296878080.

The previous prime is 1125355177. The next prime is 1125355213. The reversal of 1125355200 is 25535211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 464392 + ... + 466808.

It is an arithmetic number, because the mean of its divisors is an integer number (22212554).

Almost surely, 2^1125355200 is an apocalyptic number.

1125355200 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 1125355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865854536).

1125355200 is an abundant number, since it is smaller than the sum of its proper divisors (2606353872).

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

1125355200 is a wasteful number, since it uses less digits than its factorization.

1125355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2539 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 1125355200 is about 33546.3142535808. The cubic root of 1125355200 is about 1040.1513586412.

The spelling of 1125355200 in words is "one billion, one hundred twenty-five million, three hundred fifty-five thousand, two hundred".