137744 has 10 divisors (see below), whose sum is σ = 266910. Its totient is φ = 68864.

The previous prime is 137743. The next prime is 137771. The reversal of 137744 is 447731.

It can be written as a sum of positive squares in only one way, i.e., 102400 + 35344 = 320^2 + 188^2 .

It is a d-powerful number, because it can be written as 1 + 3⁹ + 7³ + 7⁶ + 4 + 4³ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 137744.

It is not an unprimeable number, because it can be changed into a prime (137743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4289 + ... + 4320.

It is an arithmetic number, because the mean of its divisors is an integer number (26691).

2¹³⁷⁷⁴⁴ is an apocalyptic number.

It is an amenable number.

137744 is a deficient number, since it is larger than the sum of its proper divisors (129166).

137744 is an equidigital number, since it uses as much as digits as its factorization.

137744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8617 (or 8611 counting only the distinct ones).

The product of its digits is 2352, while the sum is 26.

The square root of 137744 is about 371.1387880564. The cubic root of 137744 is about 51.6445181978.

The spelling of 137744 in words is "one hundred thirty-seven thousand, seven hundred forty-four".