137638 has 4 divisors (see below), whose sum is σ = 206460. Its totient is φ = 68818.

The previous prime is 137633. The next prime is 137639. The reversal of 137638 is 836731.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 836731 = 7 ⋅119533.

It is a super-3 number, since 3×137638³ = 7822333262334216, which contains 333 as substring.

It is a d-powerful number, because it can be written as 1 + 3⁴ + 6³ + 7⁶ + 3⁹ + 8 .

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 34408 + ... + 34411.

It is an arithmetic number, because the mean of its divisors is an integer number (51615).

137638 is a Friedman number, since it can be written as 371^(8-6)-3, using all its digits and the basic arithmetic operations.

2¹³⁷⁶³⁸ is an apocalyptic number.

137638 is a deficient number, since it is larger than the sum of its proper divisors (68822).

137638 is an equidigital number, since it uses as much as digits as its factorization.

137638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68821.

The product of its digits is 3024, while the sum is 28.

The square root of 137638 is about 370.9959568513. The cubic root of 137638 is about 51.6312672304.

The spelling of 137638 in words is "one hundred thirty-seven thousand, six hundred thirty-eight".