1155344000 has 128 divisors (see below), whose sum is σ = 2896620480. Its totient is φ = 458265600.

The previous prime is 1155343951. The next prime is 1155344107. The reversal of 1155344000 is 4435511.

It is a tau number, because it is divible by the number of its divisors (128).

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, 2607779 + ... + 2608221.

Almost surely, 2^1155344000 is an apocalyptic number.

1155344000 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 1155344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448310240).

1155344000 is an abundant number, since it is smaller than the sum of its proper divisors (1741276480).

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

1155344000 is an equidigital number, since it uses as much as digits as its factorization.

1155344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 1155344000 is about 33990.3515721741. The cubic root of 1155344000 is about 1049.3099017949.

Adding to 1155344000 its reverse (4435511), we get a palindrome (1159779511).

The spelling of 1155344000 in words is "one billion, one hundred fifty-five million, three hundred forty-four thousand".