138544211097600 has 1152 divisors, whose sum is σ = 571403127859200. Its totient is φ = 28769225932800.

The previous prime is 138544211097563. The next prime is 138544211097641. The reversal of 138544211097600 is 6790112445831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23973731511 + ... + 23973737289.

It is an arithmetic number, because the mean of its divisors is an integer number (496009659600).

It is a 1-persistent number, because it is pandigital, but 2⋅138544211097600 = 277088422195200 is not.

Almost surely, 2^{138544211097600} is an apocalyptic number.

138544211097600 is a gapful number since it is divisible by the number (10) 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 138544211097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285701563929600).

138544211097600 is an abundant number, since it is smaller than the sum of its proper divisors (432858916761600).

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

138544211097600 is a wasteful number, since it uses less digits than its factorization.

138544211097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7859 (or 7834 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 138544211097600 in words is "one hundred thirty-eight trillion, five hundred forty-four billion, two hundred eleven million, ninety-seven thousand, six hundred".