137718 has 24 divisors (see below), whose sum is σ = 341328. Its totient is φ = 39312.

The previous prime is 137713. The next prime is 137723. The reversal of 137718 is 817731.

It is an interprime number because it is at equal distance from previous prime (137713) and next prime (137723).

It is a junction number, because it is equal to n+sod(n) for n = 137691 and 137700.

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 137718.

It is not an unprimeable number, because it can be changed into a prime (137713) by changing a digit.

137718 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 11 ways as a sum of consecutive naturals, for example, 421 + ... + 672.

It is an arithmetic number, because the mean of its divisors is an integer number (14222).

137718 is a Friedman number, since it can be written as (71-8)*(3^7-1), using all its digits and the basic arithmetic operations.

2¹³⁷⁷¹⁸ is an apocalyptic number.

137718 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

137718 is an abundant number, since it is smaller than the sum of its proper divisors (203610).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137718 is a wasteful number, since it uses less digits than its factorization.

137718 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1105 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 137718 is about 371.1037590755. The cubic root of 137718 is about 51.6412685899.

The spelling of 137718 in words is "one hundred thirty-seven thousand, seven hundred eighteen".