1032144129 has 9 divisors (see below), whose sum is σ = 1491014083. Its totient is φ = 688031832.

The previous prime is 1032144109. The next prime is 1032144167. The reversal of 1032144129 is 9214412301.

It is a happy number.

The square root of 1032144129 is 32127.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 993951729 + 38192400 = 31527^2 + 6180^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1032144129 - 2¹⁷ = 1032013057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1032144109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 91027 + ... + 101735.

Almost surely, 2^1032144129 is an apocalyptic number.

1032144129 is the 32127-th square number.

1032144129 is the 16064-th centered octagonal number.

It is an amenable number.

1032144129 is a deficient number, since it is larger than the sum of its proper divisors (458869954).

1032144129 is an frugal number, since it uses more digits than its factorization.

1032144129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21424 (or 10712 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 1032144129 is about 1010.6019119103.

It can be divided in two parts, 1032 and 144129, that added together give a square (145161 = 381²).

The spelling of 1032144129 in words is "one billion, thirty-two million, one hundred forty-four thousand, one hundred twenty-nine".