27152512711137 has 48 divisors (see below), whose sum is σ = 46137698893440. Its totient is φ = 15740587035360.

The previous prime is 27152512711133. The next prime is 27152512711157. The reversal of 27152512711137 is 73111721525172.

27152512711137 is a `hidden beast` number, since 2 + 7 + 1 + 52 + 512 + 71 + 1 + 13 + 7 = 666.

It is not a de Polignac number, because 27152512711137 - 2² = 27152512711133 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27152512711092 and 27152512711101.

It is not an unprimeable number, because it can be changed into a prime (27152512711133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180601938 + ... + 180752219.

It is an arithmetic number, because the mean of its divisors is an integer number (961202060280).

Almost surely, 2^{27152512711137} is an apocalyptic number.

27152512711137 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

27152512711137 is a deficient number, since it is larger than the sum of its proper divisors (18985186182303).

27152512711137 is a wasteful number, since it uses less digits than its factorization.

27152512711137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361354211 (or 361354194 counting only the distinct ones).

The product of its digits is 205800, while the sum is 45.

The spelling of 27152512711137 in words is "twenty-seven trillion, one hundred fifty-two billion, five hundred twelve million, seven hundred eleven thousand, one hundred thirty-seven".