10144131600 has 120 divisors (see below), whose sum is σ = 33907954752. Its totient is φ = 2587481600.

The previous prime is 10144131587. The next prime is 10144131619. The reversal of 10144131600 is 613144101.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 156171 + ... + 211370.

Almost surely, 2^10144131600 is an apocalyptic number.

10144131600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144131600 is an abundant number, since it is smaller than the sum of its proper divisors (23763823152).

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

10144131600 is a wasteful number, since it uses less digits than its factorization.

10144131600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367585 (or 367574 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10144131600 its reverse (613144101), we get a palindrome (10757275701).

The spelling of 10144131600 in words is "ten billion, one hundred forty-four million, one hundred thirty-one thousand, six hundred".