137727 has 8 divisors (see below), whose sum is σ = 204080. Its totient is φ = 91800.

The previous prime is 137723. The next prime is 137737. The reversal of 137727 is 727731.

It is not a de Polignac number, because 137727 - 2² = 137723 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 5101 = 137727 / (1 + 3 + 7 + 7 + 2 + 7).

It is a d-powerful number, because it can be written as 1 + 3⁹ + 7² + 7³ + 2 + 7⁶ .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137723) 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, 2524 + ... + 2577.

It is an arithmetic number, because the mean of its divisors is an integer number (25510).

2¹³⁷⁷²⁷ is an apocalyptic number.

137727 is a deficient number, since it is larger than the sum of its proper divisors (66353).

137727 is an equidigital number, since it uses as much as digits as its factorization.

137727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5110 (or 5104 counting only the distinct ones).

The product of its digits is 2058, while the sum is 27.

The square root of 137727 is about 371.1158848662. The cubic root of 137727 is about 51.6423935005.

It can be divided in two parts, 137 and 727, that multiplied together give a palindrome (99599).

The spelling of 137727 in words is "one hundred thirty-seven thousand, seven hundred twenty-seven".