10144075500 has 240 divisors, whose sum is σ = 35642871264. Its totient is φ = 2496873600.

The previous prime is 10144075483. The next prime is 10144075537. The reversal of 10144075500 is 557044101.

It is a happy number.

10144075500 is a `hidden beast` number, since 10 + 144 + 0 + 7 + 5 + 500 = 666.

10144075500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 516867 + ... + 536133.

Almost surely, 2^10144075500 is an apocalyptic number.

10144075500 is a gapful number since it is divisible by the number (10) 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 10144075500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17821435632).

10144075500 is an abundant number, since it is smaller than the sum of its proper divisors (25498795764).

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

10144075500 is a wasteful number, since it uses less digits than its factorization.

10144075500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19311 (or 19290 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The spelling of 10144075500 in words is "ten billion, one hundred forty-four million, seventy-five thousand, five hundred".