137686686731 has 8 divisors (see below), whose sum is σ = 153399481344. Its totient is φ = 122506529320.

The previous prime is 137686686679. The next prime is 137686686757.

137686686731 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137686686731 - 2¹⁴ = 137686670347 is a prime.

It is a super-2 number, since 2×137686686731² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137688686731) 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 7 ways as a sum of consecutive naturals, for example, 133158755 + ... + 133159788.

It is an arithmetic number, because the mean of its divisors is an integer number (19174935168).

Almost surely, 2^137686686731 is an apocalyptic number.

137686686731 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137686686731 is a deficient number, since it is larger than the sum of its proper divisors (15712794613).

137686686731 is a wasteful number, since it uses less digits than its factorization.

137686686731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266318601.

The product of its digits is 36578304, while the sum is 62.

The spelling of 137686686731 in words is "one hundred thirty-seven billion, six hundred eighty-six million, six hundred eighty-six thousand, seven hundred thirty-one".