138718586240 has 256 divisors, whose sum is σ = 374149480320. Its totient is φ = 48796729344.

The previous prime is 138718586213. The next prime is 138718586257. The reversal of 138718586240 is 42685817831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53005412 + ... + 53008028.

Almost surely, 2^138718586240 is an apocalyptic number.

138718586240 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 138718586240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187074740160).

138718586240 is an abundant number, since it is smaller than the sum of its proper divisors (235430894080).

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

138718586240 is a wasteful number, since it uses less digits than its factorization.

138718586240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2949 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 53.

The spelling of 138718586240 in words is "one hundred thirty-eight billion, seven hundred eighteen million, five hundred eighty-six thousand, two hundred forty".