10137806127 has 8 divisors (see below), whose sum is σ = 15018972080. Its totient is φ = 6758537400.

The previous prime is 10137806101. The next prime is 10137806221. The reversal of 10137806127 is 72160873101.

10137806127 is a `hidden beast` number, since 1 + 0 + 1 + 37 + 8 + 0 + 612 + 7 = 666.

10137806127 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10137806127 - 2¹⁰ = 10137805103 is a prime.

It is a super-2 number, since 2×10137806127² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10137806091 and 10137806100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10137805127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187737124 + ... + 187737177.

It is an arithmetic number, because the mean of its divisors is an integer number (1877371510).

Almost surely, 2^10137806127 is an apocalyptic number.

10137806127 is a deficient number, since it is larger than the sum of its proper divisors (4881165953).

10137806127 is an equidigital number, since it uses as much as digits as its factorization.

10137806127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375474310 (or 375474304 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 10137806127 in words is "ten billion, one hundred thirty-seven million, eight hundred six thousand, one hundred twenty-seven".