137144 has 32 divisors (see below), whose sum is σ = 307200. Its totient is φ = 56160.

The previous prime is 137143. The next prime is 137147. The reversal of 137144 is 441731.

137144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1697 + ... + 1775.

It is an arithmetic number, because the mean of its divisors is an integer number (9600).

2¹³⁷¹⁴⁴ is an apocalyptic number.

137144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153600).

137144 is an abundant number, since it is smaller than the sum of its proper divisors (170056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137144 is a wasteful number, since it uses less digits than its factorization.

137144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 119 counting only the distinct ones).

The product of its digits is 336, while the sum is 20.

The square root of 137144 is about 370.3295829393. The cubic root of 137144 is about 51.5694228232.

Adding to 137144 its reverse (441731), we get a palindrome (578875).

The spelling of 137144 in words is "one hundred thirty-seven thousand, one hundred forty-four".