1152132000 has 192 divisors, whose sum is σ = 3833391744. Its totient is φ = 302438400.

The previous prime is 1152131977. The next prime is 1152132001. The reversal of 1152132000 is 2312511.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1152132001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 803284 + ... + 804716.

It is an arithmetic number, because the mean of its divisors is an integer number (19965582).

Almost surely, 2^1152132000 is an apocalyptic number.

1152132000 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 1152132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916695872).

1152132000 is an abundant number, since it is smaller than the sum of its proper divisors (2681259744).

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

1152132000 is a wasteful number, since it uses less digits than its factorization.

1152132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1152132000 is about 33943.0699849027. The cubic root of 1152132000 is about 1048.3365952590.

Adding to 1152132000 its reverse (2312511), we get a palindrome (1154444511).

The spelling of 1152132000 in words is "one billion, one hundred fifty-two million, one hundred thirty-two thousand".