137106108 has 60 divisors (see below), whose sum is σ = 360008880. Its totient is φ = 45499968.

The previous prime is 137106077. The next prime is 137106121. The reversal of 137106108 is 801601731.

137106108 is a `hidden beast` number, since 1 + 37 + 10 + 610 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 84408 + ... + 86016.

It is an arithmetic number, because the mean of its divisors is an integer number (6000148).

Almost surely, 2^137106108 is an apocalyptic number.

137106108 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 137106108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180004440).

137106108 is an abundant number, since it is smaller than the sum of its proper divisors (222902772).

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

137106108 is a wasteful number, since it uses less digits than its factorization.

137106108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 137106108 is about 11709.2317425184. The cubic root of 137106108 is about 515.6467295305.

Adding to 137106108 its reverse (801601731), we get a palindrome (938707839).

The spelling of 137106108 in words is "one hundred thirty-seven million, one hundred six thousand, one hundred eight".