137601 has 6 divisors (see below), whose sum is σ = 198770. Its totient is φ = 91728.

The previous prime is 137597. The next prime is 137623. The reversal of 137601 is 106731.

It can be written as a sum of positive squares in only one way, i.e., 123201 + 14400 = 351^2 + 120^2 .

It is not a de Polignac number, because 137601 - 2² = 137597 is a prime.

It is an Ulam number.

It is a Duffinian number.

137601 is a lucky number.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (137201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7636 + ... + 7653.

2¹³⁷⁶⁰¹ is an apocalyptic number.

It is an amenable number.

137601 is a deficient number, since it is larger than the sum of its proper divisors (61169).

137601 is a wasteful number, since it uses less digits than its factorization.

137601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15295 (or 15292 counting only the distinct ones).

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

The square root of 137601 is about 370.9460877270. The cubic root of 137601 is about 51.6266402909.

The spelling of 137601 in words is "one hundred thirty-seven thousand, six hundred one".