10145061204237 has 24 divisors (see below), whose sum is σ = 14965347940920. Its totient is φ = 6621169420800.

The previous prime is 10145061204233. The next prime is 10145061204247. The reversal of 10145061204237 is 73240216054101.

10145061204237 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 0 + 612 + 0 + 4 + 2 + 37 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5363050062276 + 4782011141961 = 2315826^2 + 2186781^2 .

It is not a de Polignac number, because 10145061204237 - 2² = 10145061204233 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145061204233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62619568 + ... + 62781369.

It is an arithmetic number, because the mean of its divisors is an integer number (623556164205).

Almost surely, 2^{10145061204237} is an apocalyptic number.

It is an amenable number.

10145061204237 is a deficient number, since it is larger than the sum of its proper divisors (4820286736683).

10145061204237 is a wasteful number, since it uses less digits than its factorization.

10145061204237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125401133 (or 125401130 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 10145061204237 its reverse (73240216054101), we get a palindrome (83385277258338).

The spelling of 10145061204237 in words is "ten trillion, one hundred forty-five billion, sixty-one million, two hundred four thousand, two hundred thirty-seven".