1331152000 has 128 divisors (see below), whose sum is σ = 3332609280. Its totient is φ = 528768000.

The previous prime is 1331151977. The next prime is 1331152013. The reversal of 1331152000 is 2511331.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 4335847 + ... + 4336153.

It is an arithmetic number, because the mean of its divisors is an integer number (26036010).

Almost surely, 2^1331152000 is an apocalyptic number.

1331152000 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 1331152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666304640).

1331152000 is an abundant number, since it is smaller than the sum of its proper divisors (2001457280).

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

1331152000 is an equidigital number, since it uses as much as digits as its factorization.

1331152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 1331152000 is about 36484.9558037282. The cubic root of 1331152000 is about 1100.0418716844.

Adding to 1331152000 its reverse (2511331), we get a palindrome (1333663331).

The spelling of 1331152000 in words is "one billion, three hundred thirty-one million, one hundred fifty-two thousand".