1150333200 has 180 divisors, whose sum is σ = 4067970660. Its totient is φ = 300917760.

The previous prime is 1150333189. The next prime is 1150333229. The reversal of 1150333200 is 23330511.

It can be written as a sum of positive squares in 6 ways, for example, as 62916624 + 1087416576 = 7932^2 + 32976^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 187786 + ... + 193814.

It is an arithmetic number, because the mean of its divisors is an integer number (22599837).

Almost surely, 2^1150333200 is an apocalyptic number.

1150333200 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 1150333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033985330).

1150333200 is an abundant number, since it is smaller than the sum of its proper divisors (2917637460).

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

1150333200 is a wasteful number, since it uses less digits than its factorization.

1150333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6106 (or 6092 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 1150333200 is about 33916.5623258018. The cubic root of 1150333200 is about 1047.7907289541.

Adding to 1150333200 its reverse (23330511), we get a palindrome (1173663711).

The spelling of 1150333200 in words is "one billion, one hundred fifty million, three hundred thirty-three thousand, two hundred".