1153130000 has 150 divisors (see below), whose sum is σ = 3071940102. Its totient is φ = 418880000.

The previous prime is 1153129979. The next prime is 1153130021. The reversal of 1153130000 is 313511.

It is an interprime number because it is at equal distance from previous prime (1153129979) and next prime (1153130021).

It can be written as a sum of positive squares in 5 ways, for example, as 499611904 + 653518096 = 22352^2 + 25564^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1209524 + ... + 1210476.

Almost surely, 2^1153130000 is an apocalyptic number.

1153130000 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 1153130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535970051).

1153130000 is an abundant number, since it is smaller than the sum of its proper divisors (1918810102).

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

1153130000 is an equidigital number, since it uses as much as digits as its factorization.

1153130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 1153130000 is about 33957.7678889529. The cubic root of 1153130000 is about 1048.6392046753.

Adding to 1153130000 its reverse (313511), we get a palindrome (1153443511).

The spelling of 1153130000 in words is "one billion, one hundred fifty-three million, one hundred thirty thousand".