1600131712 has 128 divisors (see below), whose sum is σ = 3489868800. Its totient is φ = 728555520.

The previous prime is 1600131707. The next prime is 1600131719. The reversal of 1600131712 is 2171310061.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1600131719) 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 15 ways as a sum of consecutive naturals, for example, 8122398 + ... + 8122594.

It is an arithmetic number, because the mean of its divisors is an integer number (27264600).

Almost surely, 2^1600131712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1600131712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744934400).

1600131712 is an abundant number, since it is smaller than the sum of its proper divisors (1889737088).

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

1600131712 is a wasteful number, since it uses less digits than its factorization.

1600131712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 1600131712 is about 40001.6463661185. The cubic root of 1600131712 is about 1169.6391884232.

Adding to 1600131712 its reverse (2171310061), we get a palindrome (3771441773).

The spelling of 1600131712 in words is "one billion, six hundred million, one hundred thirty-one thousand, seven hundred twelve".