10145063123136 has 336 divisors, whose sum is σ = 31385296294560. Its totient is φ = 3121768857600.

The previous prime is 10145063123123. The next prime is 10145063123137. The reversal of 10145063123136 is 63132136054101.

10145063123136 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 0 + 631 + 2 + 3 + 13 + 6 = 666.

It is a super-3 number, since 3×10145063123136³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10145063123136.

It is not an unprimeable number, because it can be changed into a prime (10145063123137) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 105774210 + ... + 105870078.

Almost surely, 2^{10145063123136} is an apocalyptic number.

10145063123136 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 10145063123136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15692648147280).

10145063123136 is an abundant number, since it is smaller than the sum of its proper divisors (21240233171424).

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

10145063123136 is a wasteful number, since it uses less digits than its factorization.

10145063123136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96112 (or 96099 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 10145063123136 its reverse (63132136054101), we get a palindrome (73277199177237).

The spelling of 10145063123136 in words is "ten trillion, one hundred forty-five billion, sixty-three million, one hundred twenty-three thousand, one hundred thirty-six".