138044584704 has 144 divisors (see below), whose sum is σ = 396617760000. Its totient is φ = 42372599808.

The previous prime is 138044584703. The next prime is 138044584739. The reversal of 138044584704 is 407485440831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (138044584703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4166797 + ... + 4199795.

It is an arithmetic number, because the mean of its divisors is an integer number (2754290000).

Almost surely, 2^138044584704 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 138044584704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198308880000).

138044584704 is an abundant number, since it is smaller than the sum of its proper divisors (258573175296).

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

138044584704 is a wasteful number, since it uses less digits than its factorization.

138044584704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33450 (or 33436 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 138044584704 in words is "one hundred thirty-eight billion, forty-four million, five hundred eighty-four thousand, seven hundred four".