137726138627 has 48 divisors (see below), whose sum is σ = 179641732608. Its totient is φ = 104336406720.

The previous prime is 137726138587. The next prime is 137726138663. The reversal of 137726138627 is 726831627731.

It is not a de Polignac number, because 137726138627 - 2⁸ = 137726138371 is a prime.

It is a super-2 number, since 2×137726138627² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137728138627) 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, 40422758 + ... + 40426164.

It is an arithmetic number, because the mean of its divisors is an integer number (3742536096).

Almost surely, 2^137726138627 is an apocalyptic number.

137726138627 is a deficient number, since it is larger than the sum of its proper divisors (41915593981).

137726138627 is a wasteful number, since it uses less digits than its factorization.

137726138627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5496 (or 5489 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 53.

The spelling of 137726138627 in words is "one hundred thirty-seven billion, seven hundred twenty-six million, one hundred thirty-eight thousand, six hundred twenty-seven".