137880 has 48 divisors (see below), whose sum is σ = 449280. Its totient is φ = 36672.

The previous prime is 137873. The next prime is 137909. The reversal of 137880 is 88731.

It is a congruent number.

It is an unprimeable number.

137880 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 169 + ... + 551.

It is an arithmetic number, because the mean of its divisors is an integer number (9360).

2¹³⁷⁸⁸⁰ is an apocalyptic number.

137880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224640).

137880 is an abundant number, since it is smaller than the sum of its proper divisors (311400).

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

137880 is a wasteful number, since it uses less digits than its factorization.

137880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 137880 is about 371.3219627224. The cubic root of 137880 is about 51.6615094864.

The spelling of 137880 in words is "one hundred thirty-seven thousand, eight hundred eighty".