1234132000 has 96 divisors (see below), whose sum is σ = 3210807600. Its totient is φ = 464588800.

The previous prime is 1234131887. The next prime is 1234132007. The reversal of 1234132000 is 2314321.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 57093136 + 1177038864 = 7556^2 + 34308^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1234132007) 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, 58926 + ... + 77074.

Almost surely, 2^1234132000 is an apocalyptic number.

1234132000 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 1234132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605403800).

1234132000 is an abundant number, since it is smaller than the sum of its proper divisors (1976675600).

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

1234132000 is a wasteful number, since it uses less digits than its factorization.

1234132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18191 (or 18173 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1234132000 is about 35130.2149153688. The cubic root of 1234132000 is about 1072.6397106282.

Adding to 1234132000 its reverse (2314321), we get a palindrome (1236446321).

The spelling of 1234132000 in words is "one billion, two hundred thirty-four million, one hundred thirty-two thousand".