137265 has 8 divisors (see below), whose sum is σ = 219648. Its totient is φ = 73200.

The previous prime is 137251. The next prime is 137273. The reversal of 137265 is 562731.

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

It is not a de Polignac number, because 137265 - 2⁶ = 137201 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4561 + ... + 4590.

It is an arithmetic number, because the mean of its divisors is an integer number (27456).

2¹³⁷²⁶⁵ is an apocalyptic number.

137265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137265 is a deficient number, since it is larger than the sum of its proper divisors (82383).

137265 is an equidigital number, since it uses as much as digits as its factorization.

137265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9159.

The product of its digits is 1260, while the sum is 24.

The square root of 137265 is about 370.4929149120. The cubic root of 137265 is about 51.5845846626.

Adding to 137265 its reverse (562731), we get a palindrome (699996).

It can be divided in two parts, 13726 and 5, that added together give a palindrome (13731).

The spelling of 137265 in words is "one hundred thirty-seven thousand, two hundred sixty-five".