137438953472 has 38 divisors (see below), whose sum is σ = 274877906943. Its totient is φ = 68719476736.

The previous prime is 137438953447. The next prime is 137438953481. The reversal of 137438953472 is 274359834731.

It is a perfect power (a 37-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (2!)³⁷.

It can be written as a sum of positive squares in only one way, i.e., 68719476736 + 68719476736 = 262144^2 + 262144^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=32, B=2.

It is a Duffinian number.

Its product of digits (15240960) is a multiple of the sum of its prime divisors (2).

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is an unprimeable number.

In principle, a polygon with 137438953472 sides can be constructed with ruler and compass.

It is an impolite number, since it cannot be written as a nontrivial sum of consecutive naturals.

Almost surely, 2^137438953472 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 137438953472

137438953472 is a deficient number, since it is larger than the sum of its proper divisors (137438953471).

137438953472 is an frugal number, since it uses more digits than its factorization.

137438953472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 2 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 56.

The spelling of 137438953472 in words is "one hundred thirty-seven billion, four hundred thirty-eight million, nine hundred fifty-three thousand, four hundred seventy-two".