137578772727 has 48 divisors (see below), whose sum is σ = 225027653760. Its totient is φ = 83304093600.

The previous prime is 137578772701. The next prime is 137578772789. The reversal of 137578772727 is 727277875731.

137578772727 is a `hidden beast` number, since 1 + 37 + 578 + 7 + 7 + 2 + 7 + 27 = 666.

It is not a de Polignac number, because 137578772727 - 2¹⁰ = 137578771703 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137578772327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2941152 + ... + 2987562.

It is an arithmetic number, because the mean of its divisors is an integer number (4688076120).

Almost surely, 2^137578772727 is an apocalyptic number.

137578772727 is a deficient number, since it is larger than the sum of its proper divisors (87448881033).

137578772727 is a wasteful number, since it uses less digits than its factorization.

137578772727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47546 (or 47534 counting only the distinct ones).

The product of its digits is 56471520, while the sum is 63.

The spelling of 137578772727 in words is "one hundred thirty-seven billion, five hundred seventy-eight million, seven hundred seventy-two thousand, seven hundred twenty-seven".