10137117144 has 64 divisors (see below), whose sum is σ = 31596215040. Its totient is φ = 2633016960.

The previous prime is 10137117131. The next prime is 10137117157. The reversal of 10137117144 is 44171173101.

It is an interprime number because it is at equal distance from previous prime (10137117131) and next prime (10137117157).

It is a super-2 number, since 2×10137117144² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2740879 + ... + 2744574.

It is an arithmetic number, because the mean of its divisors is an integer number (493690860).

Almost surely, 2^10137117144 is an apocalyptic number.

10137117144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10137117144 is an abundant number, since it is smaller than the sum of its proper divisors (21459097896).

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

10137117144 is a wasteful number, since it uses less digits than its factorization.

10137117144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5485480 (or 5485476 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 30.

The spelling of 10137117144 in words is "ten billion, one hundred thirty-seven million, one hundred seventeen thousand, one hundred forty-four".