1144136896 has 56 divisors (see below), whose sum is σ = 2605751456. Its totient is φ = 488263680.

The previous prime is 1144136887. The next prime is 1144136911. The reversal of 1144136896 is 6986314411.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102670 + ... + 113266.

It is an arithmetic number, because the mean of its divisors is an integer number (46531276).

Almost surely, 2^1144136896 is an apocalyptic number.

1144136896 is a gapful number since it is divisible by the number (16) 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 1144136896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302875728).

1144136896 is an abundant number, since it is smaller than the sum of its proper divisors (1461614560).

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

1144136896 is a wasteful number, since it uses less digits than its factorization.

1144136896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10857 (or 10847 counting only the distinct ones).

The product of its digits is 124416, while the sum is 43.

The square root of 1144136896 is about 33825.0926975818. The cubic root of 1144136896 is about 1045.9060222397.

The spelling of 1144136896 in words is "one billion, one hundred forty-four million, one hundred thirty-six thousand, eight hundred ninety-six".