1149189120 has 440 divisors, whose sum is σ = 4387032144. Its totient is φ = 286654464.

The previous prime is 1149189113. The next prime is 1149189133. The reversal of 1149189120 is 219819411.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7050159 + ... + 7050321.

Almost surely, 2^1149189120 is an apocalyptic number.

1149189120 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 1149189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193516072).

1149189120 is an abundant number, since it is smaller than the sum of its proper divisors (3237843024).

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

1149189120 is a wasteful number, since it uses less digits than its factorization.

1149189120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 1149189120 is about 33899.6920339994. The cubic root of 1149189120 is about 1047.4432487486.

The spelling of 1149189120 in words is "one billion, one hundred forty-nine million, one hundred eighty-nine thousand, one hundred twenty".