1125642240 has 312 divisors, whose sum is σ = 4048057728. Its totient is φ = 289013760.

The previous prime is 1125642239. The next prime is 1125642253. The reversal of 1125642240 is 422465211.

1125642240 is a `hidden beast` number, since 1 + 12 + 5 + 642 + 2 + 4 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 5713822 + ... + 5714018.

It is an arithmetic number, because the mean of its divisors is an integer number (12974544).

Almost surely, 2^1125642240 is an apocalyptic number.

1125642240 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 1125642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024028864).

1125642240 is an abundant number, since it is smaller than the sum of its proper divisors (2922415488).

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

1125642240 is a wasteful number, since it uses less digits than its factorization.

1125642240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1125642240 is about 33550.5922451452. The cubic root of 1125642240 is about 1040.2397869185.

The spelling of 1125642240 in words is "one billion, one hundred twenty-five million, six hundred forty-two thousand, two hundred forty".