1145839200 has 144 divisors (see below), whose sum is σ = 4068864576. Its totient is φ = 277772800.

The previous prime is 1145839193. The next prime is 1145839207. The reversal of 1145839200 is 29385411.

It is an interprime number because it is at equal distance from previous prime (1145839193) and next prime (1145839207).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145839207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4699 + ... + 48101.

It is an arithmetic number, because the mean of its divisors is an integer number (28256004).

Almost surely, 2^1145839200 is an apocalyptic number.

1145839200 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 1145839200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034432288).

1145839200 is an abundant number, since it is smaller than the sum of its proper divisors (2923025376).

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

1145839200 is a wasteful number, since it uses less digits than its factorization.

1145839200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43437 (or 43424 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1145839200 is about 33850.2466756152. The cubic root of 1145839200 is about 1046.4244822616.

The spelling of 1145839200 in words is "one billion, one hundred forty-five million, eight hundred thirty-nine thousand, two hundred".