1144532000 has 96 divisors (see below), whose sum is σ = 2840960304. Its totient is φ = 453120000.

The previous prime is 1144531963. The next prime is 1144532017. The reversal of 1144532000 is 2354411.

It can be written as a sum of positive squares in 8 ways, for example, as 189227536 + 955304464 = 13756^2 + 30908^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402584 + ... + 405416.

Almost surely, 2^1144532000 is an apocalyptic number.

1144532000 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 1144532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420480152).

1144532000 is an abundant number, since it is smaller than the sum of its proper divisors (1696428304).

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

1144532000 is a wasteful number, since it uses less digits than its factorization.

1144532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1144532000 is about 33830.9325913431. The cubic root of 1144532000 is about 1046.0264023841.

Adding to 1144532000 its reverse (2354411), we get a palindrome (1146886411).

The spelling of 1144532000 in words is "one billion, one hundred forty-four million, five hundred thirty-two thousand".