137438691327 has 80 divisors (see below), whose sum is σ = 250373896960. Its totient is φ = 73383262848.

The previous prime is 137438691319. The next prime is 137438691329. The reversal of 137438691327 is 723196834731.

137438691327 is a `hidden beast` number, since 13 + 7 + 438 + 69 + 132 + 7 = 666.

137438691327 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 137438691327 - 2³ = 137438691319 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137438691329) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 699048 + ... + 873810.

It is an arithmetic number, because the mean of its divisors is an integer number (3129673712).

Almost surely, 2^137438691327 is an apocalyptic number.

137438691327 is a deficient number, since it is larger than the sum of its proper divisors (112935205633).

137438691327 is a wasteful number, since it uses less digits than its factorization.

137438691327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174874 (or 174865 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 137438691327 in words is "one hundred thirty-seven billion, four hundred thirty-eight million, six hundred ninety-one thousand, three hundred twenty-seven".