1150809120 has 144 divisors (see below), whose sum is σ = 4072723200. Its totient is φ = 306872064.

The previous prime is 1150809091. The next prime is 1150809133. The reversal of 1150809120 is 219080511.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 24081 + ... + 53679.

It is an arithmetic number, because the mean of its divisors is an integer number (28282800).

Almost surely, 2^1150809120 is an apocalyptic number.

1150809120 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 1150809120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036361600).

1150809120 is an abundant number, since it is smaller than the sum of its proper divisors (2921914080).

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

1150809120 is an equidigital number, since it uses as much as digits as its factorization.

1150809120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29629 (or 29609 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 1150809120 is about 33923.5776415165. The cubic root of 1150809120 is about 1047.9352076176.

Adding to 1150809120 its reverse (219080511), we get a palindrome (1369889631).

The spelling of 1150809120 in words is "one billion, one hundred fifty million, eight hundred nine thousand, one hundred twenty".