138047459473248 has 192 divisors, whose sum is σ = 413459475770880. Its totient is φ = 39952963510272.

The previous prime is 138047459473243. The next prime is 138047459473267. The reversal of 138047459473248 is 842374954740831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138047459473243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32518813 + ... + 36518051.

It is an arithmetic number, because the mean of its divisors is an integer number (2153434769640).

Almost surely, 2^{138047459473248} 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 138047459473248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206729737885440).

138047459473248 is an abundant number, since it is smaller than the sum of its proper divisors (275412016297632).

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

138047459473248 is a wasteful number, since it uses less digits than its factorization.

138047459473248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4000909 (or 4000901 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 69.

The spelling of 138047459473248 in words is "one hundred thirty-eight trillion, forty-seven billion, four hundred fifty-nine million, four hundred seventy-three thousand, two hundred forty-eight".