137701 has 4 divisors (see below), whose sum is σ = 143712. Its totient is φ = 131692.

The previous prime is 137699. The next prime is 137707. The reversal of 137701 is 107731.

It is a happy number.

137701 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 a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 107731 = 13 ⋅8287.

It is a cyclic number.

It is not a de Polignac number, because 137701 - 2¹ = 137699 is a prime.

It is a Duffinian number.

137701 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137707) 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, 2971 + ... + 3016.

It is an arithmetic number, because the mean of its divisors is an integer number (35928).

2¹³⁷⁷⁰¹ is an apocalyptic number.

It is an amenable number.

137701 is a deficient number, since it is larger than the sum of its proper divisors (6011).

137701 is an equidigital number, since it uses as much as digits as its factorization.

137701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6010.

The product of its (nonzero) digits is 147, while the sum is 19.

The square root of 137701 is about 371.0808537233. The cubic root of 137701 is about 51.6391436252.

It can be divided in two parts, 137 and 701, that added together give a palindrome (838).

The spelling of 137701 in words is "one hundred thirty-seven thousand, seven hundred one".