137607 has 4 divisors (see below), whose sum is σ = 183480. Its totient is φ = 91736.

The previous prime is 137597. The next prime is 137623. The reversal of 137607 is 706731.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 706731 = 3 ⋅235577.

It is a cyclic number.

It is not a de Polignac number, because 137607 - 2¹¹ = 135559 is a prime.

It is a D-number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137507) 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, 22932 + ... + 22937.

It is an arithmetic number, because the mean of its divisors is an integer number (45870).

2¹³⁷⁶⁰⁷ is an apocalyptic number.

137607 is a deficient number, since it is larger than the sum of its proper divisors (45873).

137607 is an equidigital number, since it uses as much as digits as its factorization.

137607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45872.

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 137607 is about 370.9541750675. The cubic root of 137607 is about 51.6273906617.

The spelling of 137607 in words is "one hundred thirty-seven thousand, six hundred seven".