137001 has 4 divisors (see below), whose sum is σ = 182672. Its totient is φ = 91332.

The previous prime is 136999. The next prime is 137029. The reversal of 137001 is 100731.

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: 100731 = 3 ⋅33577.

It is not a de Polignac number, because 137001 - 2¹ = 136999 is a prime.

It is a D-number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 137001.

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 3 ways as a sum of consecutive naturals, for example, 22831 + ... + 22836.

It is an arithmetic number, because the mean of its divisors is an integer number (45668).

2¹³⁷⁰⁰¹ is an apocalyptic number.

It is an amenable number.

137001 is a deficient number, since it is larger than the sum of its proper divisors (45671).

137001 is an equidigital number, since it uses as much as digits as its factorization.

137001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45670.

The product of its (nonzero) digits is 21, while the sum is 12.

The square root of 137001 is about 370.1364613220. The cubic root of 137001 is about 51.5514927836.

Adding to 137001 its reverse (100731), we get a palindrome (237732).

The spelling of 137001 in words is "one hundred thirty-seven thousand, one".