137888 has 24 divisors (see below), whose sum is σ = 282240. Its totient is φ = 66240.

The previous prime is 137873. The next prime is 137909. The reversal of 137888 is 888731.

It is a plaindrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 137888.

It is an unprimeable number.

137888 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, 923 + ... + 1061.

It is an arithmetic number, because the mean of its divisors is an integer number (11760).

2¹³⁷⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141120).

137888 is an abundant number, since it is smaller than the sum of its proper divisors (144352).

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

137888 is a wasteful number, since it uses less digits than its factorization.

137888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

The product of its digits is 10752, while the sum is 35.

The square root of 137888 is about 371.3327348888. The cubic root of 137888 is about 51.6625086260.

The spelling of 137888 in words is "one hundred thirty-seven thousand, eight hundred eighty-eight".