137743677 has 12 divisors (see below), whose sum is σ = 199101084. Its totient is φ = 91765440.

The previous prime is 137743643. The next prime is 137743679. The reversal of 137743677 is 776347731.

It can be written as a sum of positive squares in 2 ways, for example, as 57927321 + 79816356 = 7611^2 + 8934^2 .

It is not a de Polignac number, because 137743677 - 2⁷ = 137743549 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137743679) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11043 + ... + 19935.

It is an arithmetic number, because the mean of its divisors is an integer number (16591757).

Almost surely, 2^137743677 is an apocalyptic number.

It is an amenable number.

137743677 is a deficient number, since it is larger than the sum of its proper divisors (61357407).

137743677 is a wasteful number, since it uses less digits than its factorization.

137743677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10620 (or 10617 counting only the distinct ones).

The product of its digits is 518616, while the sum is 45.

The square root of 137743677 is about 11736.4252223580. The cubic root of 137743677 is about 516.4447783019. Note that the first 3 decimals are identical.

It can be divided in two parts, 1377 and 43677, that added together give a palindrome (45054).

The spelling of 137743677 in words is "one hundred thirty-seven million, seven hundred forty-three thousand, six hundred seventy-seven".