137908 has 12 divisors (see below), whose sum is σ = 252000. Its totient is φ = 65912.

The previous prime is 137873. The next prime is 137909. The reversal of 137908 is 809731.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137909) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 658 + ... + 841.

It is an arithmetic number, because the mean of its divisors is an integer number (21000).

2¹³⁷⁹⁰⁸ is an apocalyptic number.

137908 is the 199-th centered heptagonal number.

It is an amenable number.

137908 is a deficient number, since it is larger than the sum of its proper divisors (114092).

137908 is a wasteful number, since it uses less digits than its factorization.

137908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1524 counting only the distinct ones).

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

The square root of 137908 is about 371.3596639378. The cubic root of 137908 is about 51.6650063058.

It can be divided in two parts, 13 and 7908, that added together give a square (7921 = 89²).

The spelling of 137908 in words is "one hundred thirty-seven thousand, nine hundred eight".