1145034144 has 120 divisors (see below), whose sum is σ = 3483863460. Its totient is φ = 368492544.

The previous prime is 1145034097. The next prime is 1145034151. The reversal of 1145034144 is 4414305411.

1145034144 is a `hidden beast` number, since 1 + 14 + 503 + 4 + 144 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1108890000 + 36144144 = 33300^2 + 6012^2 .

It is a super-2 number, since 2×1145034144² = 2622206381851625472, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67552 + ... + 82784.

Almost surely, 2^1145034144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741931730).

1145034144 is an abundant number, since it is smaller than the sum of its proper divisors (2338829316).

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

1145034144 is a wasteful number, since it uses less digits than its factorization.

1145034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15284 (or 15267 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1145034144 is about 33838.3531514168. The cubic root of 1145034144 is about 1046.1793554644.

Adding to 1145034144 its reverse (4414305411), we get a palindrome (5559339555).

The spelling of 1145034144 in words is "one billion, one hundred forty-five million, thirty-four thousand, one hundred forty-four".