137808 has 80 divisors (see below), whose sum is σ = 446400. Its totient is φ = 40320.

The previous prime is 137803. The next prime is 137827. The reversal of 137808 is 808731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137803) by changing a digit.

137808 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 15 ways as a sum of consecutive naturals, for example, 4738 + ... + 4766.

It is an arithmetic number, because the mean of its divisors is an integer number (5580).

2¹³⁷⁸⁰⁸ is an apocalyptic number.

137808 is a gapful number since it is divisible by the number (18) 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 137808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223200).

137808 is an abundant number, since it is smaller than the sum of its proper divisors (308592).

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

137808 is a wasteful number, since it uses less digits than its factorization.

137808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 45 counting only the distinct ones).

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

The square root of 137808 is about 371.2249991582. The cubic root of 137808 is about 51.6525154908.

The spelling of 137808 in words is "one hundred thirty-seven thousand, eight hundred eight".