137844 has 36 divisors (see below), whose sum is σ = 398944. Its totient is φ = 39312.

The previous prime is 137831. The next prime is 137849. The reversal of 137844 is 448731.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137849) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22 + ... + 525.

2¹³⁷⁸⁴⁴ is an apocalyptic number.

137844 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 137844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199472).

137844 is an abundant number, since it is smaller than the sum of its proper divisors (261100).

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

137844 is a wasteful number, since it uses less digits than its factorization.

137844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 559 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 137844 is about 371.2734841057. The cubic root of 137844 is about 51.6570128801.

The spelling of 137844 in words is "one hundred thirty-seven thousand, eight hundred forty-four".