27113578137 has 24 divisors (see below), whose sum is σ = 41474071080. Its totient is φ = 17009879040.

The previous prime is 27113578117. The next prime is 27113578153. The reversal of 27113578137 is 73187531172.

27113578137 is a `hidden beast` number, since 2 + 71 + 1 + 3 + 578 + 1 + 3 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 658230336 + 26455347801 = 25656^2 + 162651^2 .

It is not a de Polignac number, because 27113578137 - 2¹⁸ = 27113315993 is a prime.

It is a super-2 number, since 2×27113578137² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27113578092 and 27113578101.

It is not an unprimeable number, because it can be changed into a prime (27113578117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1891437 + ... + 1905717.

It is an arithmetic number, because the mean of its divisors is an integer number (1728086295).

Almost surely, 2^27113578137 is an apocalyptic number.

It is an amenable number.

27113578137 is a deficient number, since it is larger than the sum of its proper divisors (14360492943).

27113578137 is a wasteful number, since it uses less digits than its factorization.

27113578137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26713 (or 26710 counting only the distinct ones).

The product of its digits is 246960, while the sum is 45.

The spelling of 27113578137 in words is "twenty-seven billion, one hundred thirteen million, five hundred seventy-eight thousand, one hundred thirty-seven".