137836688 has 40 divisors (see below), whose sum is σ = 295710240. Its totient is φ = 61712640.

The previous prime is 137836687. The next prime is 137836717. The reversal of 137836688 is 886638731.

It is not an unprimeable number, because it can be changed into a prime (137836687) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5948 + ... + 17636.

It is an arithmetic number, because the mean of its divisors is an integer number (7392756).

Almost surely, 2^137836688 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 137836688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147855120).

137836688 is an abundant number, since it is smaller than the sum of its proper divisors (157873552).

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

137836688 is a wasteful number, since it uses less digits than its factorization.

137836688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11775 (or 11769 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 50.

The square root of 137836688 is about 11740.3870464308. The cubic root of 137836688 is about 516.5609947375.

The spelling of 137836688 in words is "one hundred thirty-seven million, eight hundred thirty-six thousand, six hundred eighty-eight".