1152353000 has 64 divisors (see below), whose sum is σ = 2712499920. Its totient is φ = 458208000.

The previous prime is 1152352997. The next prime is 1152353009. The reversal of 1152353000 is 3532511.

It can be written as a sum of positive squares in 8 ways, for example, as 466646404 + 685706596 = 21602^2 + 26186^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1152353009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169670 + ... + 176330.

Almost surely, 2^1152353000 is an apocalyptic number.

1152353000 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 1152353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356249960).

1152353000 is an abundant number, since it is smaller than the sum of its proper divisors (1560146920).

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

1152353000 is a wasteful number, since it uses less digits than its factorization.

1152353000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6855 (or 6841 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 1152353000 is about 33946.3252797707. The cubic root of 1152353000 is about 1048.4036210210.

Adding to 1152353000 its reverse (3532511), we get a palindrome (1155885511).

The spelling of 1152353000 in words is "one billion, one hundred fifty-two million, three hundred fifty-three thousand".