2144327136 has 96 divisors (see below), whose sum is σ = 6459118848. Its totient is φ = 610176000.

The previous prime is 2144327131. The next prime is 2144327149. The reversal of 2144327136 is 6317234412.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2144327097 and 2144327106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144327131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162316 + ... + 175028.

It is an arithmetic number, because the mean of its divisors is an integer number (67282488).

Almost surely, 2^2144327136 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 2144327136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3229559424).

2144327136 is an abundant number, since it is smaller than the sum of its proper divisors (4314791712).

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

2144327136 is a wasteful number, since it uses less digits than its factorization.

2144327136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12984 (or 12976 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 2144327136 is about 46306.8800071868. The cubic root of 2144327136 is about 1289.5267250101.

The spelling of 2144327136 in words is "two billion, one hundred forty-four million, three hundred twenty-seven thousand, one hundred thirty-six".