138037561344 has 216 divisors, whose sum is σ = 414030847230. Its totient is φ = 46008041472.

The previous prime is 138037561339. The next prime is 138037561373. The reversal of 138037561344 is 443165730831.

138037561344 is a `hidden beast` number, since 1 + 3 + 80 + 3 + 7 + 561 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 129807442944 + 8230118400 = 360288^2 + 90720^2 .

It is a tau number, because it is divible by the number of its divisors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 138037561344.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13431792 + ... + 13442064.

Almost surely, 2^138037561344 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 138037561344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207015423615).

138037561344 is an abundant number, since it is smaller than the sum of its proper divisors (275993285886).

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

138037561344 is an frugal number, since it uses more digits than its factorization.

138037561344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10319 (or 10278 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 138037561344 in words is "one hundred thirty-eight billion, thirty-seven million, five hundred sixty-one thousand, three hundred forty-four".