1152144000 has 640 divisors, whose sum is σ = 4928901120. Its totient is φ = 261273600.

The previous prime is 1152143963. The next prime is 1152144001. The reversal of 1152144000 is 4412511.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152144001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9071937 + ... + 9072063.

It is an arithmetic number, because the mean of its divisors is an integer number (7701408).

Almost surely, 2^1152144000 is an apocalyptic number.

1152144000 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 1152144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464450560).

1152144000 is an abundant number, since it is smaller than the sum of its proper divisors (3776757120).

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

1152144000 is an equidigital number, since it uses as much as digits as its factorization.

1152144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1152144000 is about 33943.2467510107. The cubic root of 1152144000 is about 1048.3402348870.

Adding to 1152144000 its reverse (4412511), we get a palindrome (1156556511).

The spelling of 1152144000 in words is "one billion, one hundred fifty-two million, one hundred forty-four thousand".