137688912 has 60 divisors (see below), whose sum is σ = 392630004. Its totient is φ = 45027840.

The previous prime is 137688911. The next prime is 137688913. The reversal of 137688912 is 219886731.

It is an interprime number because it is at equal distance from previous prime (137688911) and next prime (137688913).

It can be written as a sum of positive squares in 2 ways, for example, as 44836416 + 92852496 = 6696^2 + 9636^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137688911) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1389 + ... + 16652.

Almost surely, 2^137688912 is an apocalyptic number.

137688912 is a gapful number since it is divisible by the number (12) 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 137688912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196315002).

137688912 is an abundant number, since it is smaller than the sum of its proper divisors (254941092).

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

137688912 is a wasteful number, since it uses less digits than its factorization.

137688912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18108 (or 18099 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 137688912 is about 11734.0918694205. The cubic root of 137688912 is about 516.3763254382.

The spelling of 137688912 in words is "one hundred thirty-seven million, six hundred eighty-eight thousand, nine hundred twelve".