137688 has 16 divisors (see below), whose sum is σ = 344280. Its totient is φ = 45888.
The previous prime is 137659. The next prime is 137699. The reversal of 137688 is 886731.
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 137688.
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2845 + ... + 2892.
2137688 is an apocalyptic number.
It is an amenable number.
137688 is an abundant number, since it is smaller than the sum of its proper divisors (206592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
137688 is a wasteful number, since it uses less digits than its factorization.
137688 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5746 (or 5742 counting only the distinct ones).
The product of its digits is 8064, while the sum is 33.
The square root of 137688 is about 371.0633369116. The cubic root of 137688 is about 51.6375185341.
The spelling of 137688 in words is "one hundred thirty-seven thousand, six hundred eighty-eight".
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