10137063168 has 180 divisors, whose sum is σ = 30453004120. Its totient is φ = 3353757696.

The previous prime is 10137063137. The next prime is 10137063191. The reversal of 10137063168 is 86136073101.

10137063168 is a `hidden beast` number, since 1 + 0 + 13 + 7 + 0 + 631 + 6 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2880546 + ... + 2884062.

Almost surely, 2^10137063168 is an apocalyptic number.

10137063168 is a gapful number since it is divisible by the number (18) 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 10137063168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15226502060).

10137063168 is an abundant number, since it is smaller than the sum of its proper divisors (20315940952).

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

10137063168 is an equidigital number, since it uses as much as digits as its factorization.

10137063168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3684 (or 3661 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10137063168 in words is "ten billion, one hundred thirty-seven million, sixty-three thousand, one hundred sixty-eight".