137083688 has 16 divisors (see below), whose sum is σ = 293750880. Its totient is φ = 58750128.

The previous prime is 137083679. The next prime is 137083691. The reversal of 137083688 is 886380731.

137083688 is nontrivially palindromic in base 16.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1223906 + ... + 1224017.

It is an arithmetic number, because the mean of its divisors is an integer number (18359430).

Almost surely, 2^137083688 is an apocalyptic number.

It is an amenable number.

137083688 is an abundant number, since it is smaller than the sum of its proper divisors (156667192).

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

137083688 is a wasteful number, since it uses less digits than its factorization.

137083688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447936 (or 2447932 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 137083688 is about 11708.2743391159. The cubic root of 137083688 is about 515.6186213009.

It can be divided in two parts, 1370 and 83688, that added together give a palindrome (85058).

The spelling of 137083688 in words is "one hundred thirty-seven million, eighty-three thousand, six hundred eighty-eight".