1139144160 has 768 divisors, whose sum is σ = 4964198400. Its totient is φ = 216760320.

The previous prime is 1139144159. The next prime is 1139144191. The reversal of 1139144160 is 614419311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30787662 + ... + 30787698.

It is an arithmetic number, because the mean of its divisors is an integer number (6463800).

Almost surely, 2^1139144160 is an apocalyptic number.

1139144160 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 1139144160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482099200).

1139144160 is an abundant number, since it is smaller than the sum of its proper divisors (3825054240).

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

1139144160 is a wasteful number, since it uses less digits than its factorization.

1139144160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1139144160 is about 33751.2097560962. The cubic root of 1139144160 is about 1044.3824438155.

The spelling of 1139144160 in words is "one billion, one hundred thirty-nine million, one hundred forty-four thousand, one hundred sixty".