1145200056 has 256 divisors, whose sum is σ = 3902653440. Its totient is φ = 270397440.

The previous prime is 1145200039. The next prime is 1145200057. The reversal of 1145200056 is 6500025411.

It is a super-2 number, since 2×1145200056² = 2622966336524806272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1145199999 and 1145200035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145200057) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1753426 + ... + 1754078.

It is an arithmetic number, because the mean of its divisors is an integer number (15244740).

Almost surely, 2^1145200056 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 1145200056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951326720).

1145200056 is an abundant number, since it is smaller than the sum of its proper divisors (2757453384).

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

1145200056 is a wasteful number, since it uses less digits than its factorization.

1145200056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1145200056 is about 33840.8046003637. The cubic root of 1145200056 is about 1046.2298824370.

Adding to 1145200056 its reverse (6500025411), we get a palindrome (7645225467).

The spelling of 1145200056 in words is "one billion, one hundred forty-five million, two hundred thousand, fifty-six".