1144836180 has 168 divisors, whose sum is σ = 3630797352. Its totient is φ = 303077376.

The previous prime is 1144836179. The next prime is 1144836193. The reversal of 1144836180 is 816384411.

It is a happy number.

1144836180 is a `hidden beast` number, since 1 + 1 + 448 + 36 + 180 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2125764 + 1142710416 = 1458^2 + 33804^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3396972 + ... + 3397308.

It is an arithmetic number, because the mean of its divisors is an integer number (21611889).

Almost surely, 2^1144836180 is an apocalyptic number.

1144836180 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 1144836180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815398676).

1144836180 is an abundant number, since it is smaller than the sum of its proper divisors (2485961172).

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

1144836180 is a wasteful number, since it uses less digits than its factorization.

1144836180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1144836180 is about 33835.4278826203. The cubic root of 1144836180 is about 1046.1190609635.

The spelling of 1144836180 in words is "one billion, one hundred forty-four million, eight hundred thirty-six thousand, one hundred eighty".