137061 has 12 divisors (see below), whose sum is σ = 201292. Its totient is φ = 89856.

The previous prime is 137029. The next prime is 137077. The reversal of 137061 is 160731.

137061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 50625 + 86436 = 225^2 + 294^2 .

It is not a de Polignac number, because 137061 - 2⁵ = 137029 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157061) 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, 795 + ... + 951.

2¹³⁷⁰⁶¹ is an apocalyptic number.

It is an amenable number.

137061 is a deficient number, since it is larger than the sum of its proper divisors (64231).

137061 is a wasteful number, since it uses less digits than its factorization.

137061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 137061 is about 370.2175036381. The cubic root of 137061 is about 51.5590173956.

Adding to 137061 its reverse (160731), we get a palindrome (297792).

It can be divided in two parts, 1370 and 61, that added together give a triangular number (1431 = T₅₃).

The spelling of 137061 in words is "one hundred thirty-seven thousand, sixty-one".