137683727 has 16 divisors (see below), whose sum is σ = 148995072. Its totient is φ = 126904800.

The previous prime is 137683723. The next prime is 137683783. The reversal of 137683727 is 727386731.

It is not a de Polignac number, because 137683727 - 2² = 137683723 is a prime.

It is a super-2 number, since 2×137683727² = 37913617361221058, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137683723) 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 15 ways as a sum of consecutive naturals, for example, 71477 + ... + 73377.

It is an arithmetic number, because the mean of its divisors is an integer number (9312192).

Almost surely, 2^137683727 is an apocalyptic number.

137683727 is a deficient number, since it is larger than the sum of its proper divisors (11311345).

137683727 is a wasteful number, since it uses less digits than its factorization.

137683727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038.

The product of its digits is 296352, while the sum is 44.

The square root of 137683727 is about 11733.8709299191. The cubic root of 137683727 is about 516.3698435683.

The spelling of 137683727 in words is "one hundred thirty-seven million, six hundred eighty-three thousand, seven hundred twenty-seven".