1144825080 has 128 divisors (see below), whose sum is σ = 3949102080. Its totient is φ = 260075520.

The previous prime is 1144825063. The next prime is 1144825091. The reversal of 1144825080 is 805284411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136200 + ... + 144360.

It is an arithmetic number, because the mean of its divisors is an integer number (30852360).

Almost surely, 2^1144825080 is an apocalyptic number.

1144825080 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 1144825080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974551040).

1144825080 is an abundant number, since it is smaller than the sum of its proper divisors (2804277000).

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

1144825080 is a wasteful number, since it uses less digits than its factorization.

1144825080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8349 (or 8345 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 1144825080 is about 33835.2638529685. The cubic root of 1144825080 is about 1046.1156799968.

The spelling of 1144825080 in words is "one billion, one hundred forty-four million, eight hundred twenty-five thousand, eighty".