1152713000 has 96 divisors (see below), whose sum is σ = 2748428280. Its totient is φ = 452480000.

The previous prime is 1152712987. The next prime is 1152713039. The reversal of 1152713000 is 3172511.

It can be written as a sum of positive squares in 12 ways, for example, as 2553604 + 1150159396 = 1598^2 + 33914^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10200944 + ... + 10201056.

Almost surely, 2^1152713000 is an apocalyptic number.

1152713000 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 1152713000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374214140).

1152713000 is an abundant number, since it is smaller than the sum of its proper divisors (1595715280).

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

1152713000 is a wasteful number, since it uses less digits than its factorization.

1152713000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 1152713000 is about 33951.6273542227. The cubic root of 1152713000 is about 1048.5127849106.

Adding to 1152713000 its reverse (3172511), we get a palindrome (1155885511).

The spelling of 1152713000 in words is "one billion, one hundred fifty-two million, seven hundred thirteen thousand".