137657 has 4 divisors (see below), whose sum is σ = 148260. Its totient is φ = 127056.

The previous prime is 137653. The next prime is 137659. The reversal of 137657 is 756731.

137657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 756731 = 857 ⋅883.

It can be written as a sum of positive squares in 2 ways, for example, as 19321 + 118336 = 139^2 + 344^2 .

It is a cyclic number.

It is not a de Polignac number, because 137657 - 2² = 137653 is a prime.

It is a Duffinian number.

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (137653) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5282 + ... + 5307.

It is an arithmetic number, because the mean of its divisors is an integer number (37065).

2¹³⁷⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

137657 is a deficient number, since it is larger than the sum of its proper divisors (10603).

137657 is a wasteful number, since it uses less digits than its factorization.

137657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10602.

The product of its digits is 4410, while the sum is 29.

The square root of 137657 is about 371.0215627157. The cubic root of 137657 is about 51.6336429041.

It can be divided in two parts, 137 and 657, that multiplied together give a palindrome (90009).

The spelling of 137657 in words is "one hundred thirty-seven thousand, six hundred fifty-seven".