165137 has 8 divisors (see below), whose sum is σ = 195072. Its totient is φ = 136800.

The previous prime is 165133. The next prime is 165161. The reversal of 165137 is 731561.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 165137 - 2² = 165133 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (165133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164 + ... + 597.

It is an arithmetic number, because the mean of its divisors is an integer number (24384).

2¹⁶⁵¹³⁷ is an apocalyptic number.

It is an amenable number.

165137 is a deficient number, since it is larger than the sum of its proper divisors (29935).

165137 is an equidigital number, since it uses as much as digits as its factorization.

165137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799.

The product of its digits is 630, while the sum is 23.

The square root of 165137 is about 406.3705205844. The cubic root of 165137 is about 54.8632414966.

Adding to 165137 its reverse (731561), we get a palindrome (896698).

The spelling of 165137 in words is "one hundred sixty-five thousand, one hundred thirty-seven".