137980 has 12 divisors (see below), whose sum is σ = 289800. Its totient is φ = 55184.

The previous prime is 137957. The next prime is 137983. The reversal of 137980 is 89731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137983) by changing a digit.

137980 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, 3430 + ... + 3469.

It is an arithmetic number, because the mean of its divisors is an integer number (24150).

2¹³⁷⁹⁸⁰ is an apocalyptic number.

137980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137980 is an abundant number, since it is smaller than the sum of its proper divisors (151820).

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

137980 is a wasteful number, since it uses less digits than its factorization.

137980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6908 (or 6906 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 137980 is about 371.4565923496. The cubic root of 137980 is about 51.6739959541.

It can be divided in two parts, 13 and 7980, that multiplied together give a triangular number (103740 = T₄₅₅).

The spelling of 137980 in words is "one hundred thirty-seven thousand, nine hundred eighty".