137680 has 20 divisors (see below), whose sum is σ = 320292. Its totient is φ = 55040.

The previous prime is 137659. The next prime is 137699. The reversal of 137680 is 86731.

It can be written as a sum of positive squares in 2 ways, for example, as 76176 + 61504 = 276^2 + 248^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 781 + ... + 940.

2¹³⁷⁶⁸⁰ is an apocalyptic number.

137680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137680 is an abundant number, since it is smaller than the sum of its proper divisors (182612).

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

137680 is a wasteful number, since it uses less digits than its factorization.

137680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 137680 is about 371.0525569242. The cubic root of 137680 is about 51.6365184272.

The spelling of 137680 in words is "one hundred thirty-seven thousand, six hundred eighty".