137271627 has 12 divisors (see below), whose sum is σ = 204677824. Its totient is φ = 88562160.

The previous prime is 137271619. The next prime is 137271647. The reversal of 137271627 is 726172731.

137271627 is a `hidden beast` number, since 1 + 3 + 7 + 27 + 1 + 627 = 666.

It is not a de Polignac number, because 137271627 - 2³ = 137271619 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137271591 and 137271600.

It is not an unprimeable number, because it can be changed into a prime (137271647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245728 + ... + 246285.

Almost surely, 2^137271627 is an apocalyptic number.

137271627 is a deficient number, since it is larger than the sum of its proper divisors (67406197).

137271627 is a wasteful number, since it uses less digits than its factorization.

137271627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492050 (or 492047 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 137271627 is about 11716.2974953694. The cubic root of 137271627 is about 515.8541479789.

The spelling of 137271627 in words is "one hundred thirty-seven million, two hundred seventy-one thousand, six hundred twenty-seven".