1152532000 has 144 divisors (see below), whose sum is σ = 3011161608. Its totient is φ = 433459200.

The previous prime is 1152531997. The next prime is 1152532033. The reversal of 1152532000 is 2352511.

It can be written as a sum of positive squares in 12 ways, for example, as 90554256 + 1061977744 = 9516^2 + 32588^2 .

It is a super-2 number, since 2×1152532000² = 2656660022048000000, which contains 22 as substring.

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, 1155502 + ... + 1156498.

Almost surely, 2^1152532000 is an apocalyptic number.

1152532000 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 1152532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505580804).

1152532000 is an abundant number, since it is smaller than the sum of its proper divisors (1858629608).

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

1152532000 is an equidigital number, since it uses as much as digits as its factorization.

1152532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 1152532000 is about 33948.9616925172. The cubic root of 1152532000 is about 1048.4579025742.

Adding to 1152532000 its reverse (2352511), we get a palindrome (1154884511).

The spelling of 1152532000 in words is "one billion, one hundred fifty-two million, five hundred thirty-two thousand".