137438144 has 28 divisors (see below), whose sum is σ = 273329400. Its totient is φ = 68567808.

The previous prime is 137438143. The next prime is 137438167. The reversal of 137438144 is 441834731.

137438144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137438141) 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, 30467 + ... + 34685.

Almost surely, 2^137438144 is an apocalyptic number.

It is an amenable number.

137438144 is a deficient number, since it is larger than the sum of its proper divisors (135891256).

137438144 is an equidigital number, since it uses as much as digits as its factorization.

137438144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4740 (or 4730 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 137438144 is about 11723.4015541565. The cubic root of 137438144 is about 516.0626488843.

The spelling of 137438144 in words is "one hundred thirty-seven million, four hundred thirty-eight thousand, one hundred forty-four".