10145131056224 has 24 divisors (see below), whose sum is σ = 21148122460248. Its totient is φ = 4774179320320.

The previous prime is 10145131056133. The next prime is 10145131056341. The reversal of 10145131056224 is 42265013154101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9324568442 + ... + 9324569529.

It is an arithmetic number, because the mean of its divisors is an integer number (881171769177).

Almost surely, 2^{10145131056224} is an apocalyptic number.

It is an amenable number.

10145131056224 is an abundant number, since it is smaller than the sum of its proper divisors (11002991404024).

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

10145131056224 is a wasteful number, since it uses less digits than its factorization.

10145131056224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18649137998 (or 18649137990 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 10145131056224 in words is "ten trillion, one hundred forty-five billion, one hundred thirty-one million, fifty-six thousand, two hundred twenty-four".