137938 has 8 divisors (see below), whose sum is σ = 219132. Its totient is φ = 64896.

The previous prime is 137933. The next prime is 137941. The reversal of 137938 is 839731.

It can be written as a sum of positive squares in 2 ways, for example, as 134689 + 3249 = 367^2 + 57^2 .

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

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (137933) 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, 1995 + ... + 2062.

2¹³⁷⁹³⁸ is an apocalyptic number.

137938 is a deficient number, since it is larger than the sum of its proper divisors (81194).

137938 is a wasteful number, since it uses less digits than its factorization.

137938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076.

The product of its digits is 4536, while the sum is 31.

The square root of 137938 is about 371.4000538503. The cubic root of 137938 is about 51.6687523727.

The spelling of 137938 in words is "one hundred thirty-seven thousand, nine hundred thirty-eight".