137145 has 16 divisors (see below), whose sum is σ = 225792. Its totient is φ = 71040.

The previous prime is 137143. The next prime is 137147. The reversal of 137145 is 541731.

It is an interprime number because it is at equal distance from previous prime (137143) and next prime (137147).

It is not a de Polignac number, because 137145 - 2¹ = 137143 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504 + ... + 726.

It is an arithmetic number, because the mean of its divisors is an integer number (14112).

2¹³⁷¹⁴⁵ is an apocalyptic number.

137145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137145 is a deficient number, since it is larger than the sum of its proper divisors (88647).

137145 is a wasteful number, since it uses less digits than its factorization.

137145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272.

The product of its digits is 420, while the sum is 21.

The square root of 137145 is about 370.3309330855. The cubic root of 137145 is about 51.5695481642.

Adding to 137145 its reverse (541731), we get a palindrome (678876).

It can be divided in two parts, 137 and 145, that added together give a palindrome (282).

The spelling of 137145 in words is "one hundred thirty-seven thousand, one hundred forty-five".