1147148800 has 360 divisors, whose sum is σ = 3470670720. Its totient is φ = 374169600.

The previous prime is 1147148789. The next prime is 1147148839. The reversal of 1147148800 is 88417411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19443171 + ... + 19443229.

It is an arithmetic number, because the mean of its divisors is an integer number (9640752).

Almost surely, 2^1147148800 is an apocalyptic number.

1147148800 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 1147148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735335360).

1147148800 is an abundant number, since it is smaller than the sum of its proper divisors (2323521920).

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

1147148800 is an equidigital number, since it uses as much as digits as its factorization.

1147148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 34.

The square root of 1147148800 is about 33869.5851760839. The cubic root of 1147148800 is about 1046.8229895301.

The spelling of 1147148800 in words is "one billion, one hundred forty-seven million, one hundred forty-eight thousand, eight hundred".