1032132000 has 96 divisors (see below), whose sum is σ = 3381303744. Its totient is φ = 275232000.

The previous prime is 1032131993. The next prime is 1032132001. The reversal of 1032132000 is 2312301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1032132001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31006 + ... + 55005.

It is an arithmetic number, because the mean of its divisors is an integer number (35221914).

Almost surely, 2^1032132000 is an apocalyptic number.

1032132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032132000 is an abundant number, since it is smaller than the sum of its proper divisors (2349171744).

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

1032132000 is an equidigital number, since it uses as much as digits as its factorization.

1032132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86039 (or 86021 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1032132000 is about 32126.8112329873. The cubic root of 1032132000 is about 1010.5979532776.

Adding to 1032132000 its reverse (2312301), we get a palindrome (1034444301).

The spelling of 1032132000 in words is "one billion, thirty-two million, one hundred thirty-two thousand".