137438 has 8 divisors (see below), whose sum is σ = 235632. Its totient is φ = 58896.

The previous prime is 137437. The next prime is 137443. The reversal of 137438 is 834731.

137438 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a d-powerful number, because it can be written as 1 + 3⁴ + 4² + 7⁶ + 3⁹ + 8 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137437) 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, 4895 + ... + 4922.

It is an arithmetic number, because the mean of its divisors is an integer number (29454).

2¹³⁷⁴³⁸ is an apocalyptic number.

137438 is a deficient number, since it is larger than the sum of its proper divisors (98194).

137438 is an equidigital number, since it uses as much as digits as its factorization.

137438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9826.

The product of its digits is 2016, while the sum is 26.

The square root of 137438 is about 370.7263141456. The cubic root of 137438 is about 51.6062468650.

It can be divided in two parts, 137 and 438, that multiplied together give a palindrome (60006).

The spelling of 137438 in words is "one hundred thirty-seven thousand, four hundred thirty-eight".