137842 has 8 divisors (see below), whose sum is σ = 211932. Its totient is φ = 67240.

The previous prime is 137831. The next prime is 137849. The reversal of 137842 is 248731.

It can be written as a sum of positive squares in 2 ways, for example, as 14641 + 123201 = 121^2 + 351^2 .

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

137842 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3342 + ... + 3382.

137842 is a Friedman number, since it can be written as (48-7)^3*2*1, using all its digits and the basic arithmetic operations.

2¹³⁷⁸⁴² is an apocalyptic number.

137842 is a deficient number, since it is larger than the sum of its proper divisors (74090).

137842 is an frugal number, since it uses more digits than its factorization.

137842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 43 counting only the distinct ones).

The product of its digits is 1344, while the sum is 25.

The square root of 137842 is about 371.2707906636. The cubic root of 137842 is about 51.6567630457.

Subtracting 137842 from its reverse (248731), we obtain a square (110889 = 333²).

It can be divided in two parts, 137 and 842, that added together give a palindrome (979).

The spelling of 137842 in words is "one hundred thirty-seven thousand, eight hundred forty-two".