138460144256 has 256 divisors, whose sum is σ = 354919656960. Its totient is φ = 52406255616.

The previous prime is 138460144241. The next prime is 138460144259. The reversal of 138460144256 is 652441064831.

It is not an unprimeable number, because it can be changed into a prime (138460144259) 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, 18564080 + ... + 18571536.

It is an arithmetic number, because the mean of its divisors is an integer number (1386404910).

Almost surely, 2^138460144256 is an apocalyptic number.

138460144256 is a gapful number since it is divisible by the number (16) 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 138460144256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177459828480).

138460144256 is an abundant number, since it is smaller than the sum of its proper divisors (216459512704).

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

138460144256 is a wasteful number, since it uses less digits than its factorization.

138460144256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7571 (or 7559 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 138460144256 in words is "one hundred thirty-eight billion, four hundred sixty million, one hundred forty-four thousand, two hundred fifty-six".