1144132600 has 96 divisors (see below), whose sum is σ = 2874191040. Its totient is φ = 421056000.

The previous prime is 1144132513. The next prime is 1144132607. The reversal of 1144132600 is 62314411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144132607) 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 23 ways as a sum of consecutive naturals, for example, 1120090 + ... + 1121110.

It is an arithmetic number, because the mean of its divisors is an integer number (29939490).

Almost surely, 2^1144132600 is an apocalyptic number.

1144132600 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 1144132600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437095520).

1144132600 is an abundant number, since it is smaller than the sum of its proper divisors (1730058440).

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

1144132600 is a wasteful number, since it uses less digits than its factorization.

1144132600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1144132600 is about 33825.0291943703. The cubic root of 1144132600 is about 1045.9047131837.

The spelling of 1144132600 in words is "one billion, one hundred forty-four million, one hundred thirty-two thousand, six hundred".