137807 has 4 divisors (see below), whose sum is σ = 145080. Its totient is φ = 130536.

The previous prime is 137803. The next prime is 137827. The reversal of 137807 is 708731.

137807 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: 708731 = 29 ⋅24439.

It is a cyclic number.

It is not a de Polignac number, because 137807 - 2² = 137803 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 137807.

It is not an unprimeable number, because it can be changed into a prime (137803) 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, 3608 + ... + 3645.

It is an arithmetic number, because the mean of its divisors is an integer number (36270).

2¹³⁷⁸⁰⁷ is an apocalyptic number.

137807 is a deficient number, since it is larger than the sum of its proper divisors (7273).

137807 is an equidigital number, since it uses as much as digits as its factorization.

137807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7272.

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 137807 is about 371.2236522637. The cubic root of 137807 is about 51.6523905522.

Subtracting from 137807 its product of nonzero digits (1176), we obtain a palindrome (136631).

The spelling of 137807 in words is "one hundred thirty-seven thousand, eight hundred seven".