1125736000 has 56 divisors (see below), whose sum is σ = 2787905016. Its totient is φ = 450291200.

The previous prime is 1125735983. The next prime is 1125736009. The reversal of 1125736000 is 6375211.

It can be written as a sum of positive squares in 4 ways, for example, as 11778624 + 1113957376 = 3432^2 + 33376^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1125736009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62359 + ... + 78358.

Almost surely, 2^1125736000 is an apocalyptic number.

1125736000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1125736000 is an abundant number, since it is smaller than the sum of its proper divisors (1662169016).

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

1125736000 is an equidigital number, since it uses as much as digits as its factorization.

1125736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140744 (or 140724 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 1125736000 is about 33551.9895088205. The cubic root of 1125736000 is about 1040.2686682602.

The spelling of 1125736000 in words is "one billion, one hundred twenty-five million, seven hundred thirty-six thousand".