137344 has 32 divisors (see below), whose sum is σ = 290700. Its totient is φ = 64512.

The previous prime is 137341. The next prime is 137353. The reversal of 137344 is 443731.

137344 = T₆₇ + T₆₈ + ... + T₁₀₃.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 129600 + 7744 = 360^2 + 88^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 1 + 3 + 3⁹ + 7⁶ + 4 + 4 .

It is not an unprimeable number, because it can be changed into a prime (137341) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3694 + ... + 3730.

137344 is a Friedman number, since it can be written as (3^7-41)*4^3, using all its digits and the basic arithmetic operations.

2¹³⁷³⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145350).

137344 is an abundant number, since it is smaller than the sum of its proper divisors (153356).

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

137344 is an equidigital number, since it uses as much as digits as its factorization.

137344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 68 counting only the distinct ones).

The product of its digits is 1008, while the sum is 22.

The square root of 137344 is about 370.5995143008. The cubic root of 137344 is about 51.5944789077.

The spelling of 137344 in words is "one hundred thirty-seven thousand, three hundred forty-four".