138519518709072 has 80 divisors (see below), whose sum is σ = 376684816253760. Its totient is φ = 43741968638976.

The previous prime is 138519518709067. The next prime is 138519518709109. The reversal of 138519518709072 is 270907815915831.

It is a junction number, because it is equal to n+sod(n) for n = 138519518708994 and 138519518709012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37141948 + ... + 40700900.

It is an arithmetic number, because the mean of its divisors is an integer number (4708560203172).

Almost surely, 2^{138519518709072} is an apocalyptic number.

138519518709072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138519518709072 is an abundant number, since it is smaller than the sum of its proper divisors (238165297544688).

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

138519518709072 is a wasteful number, since it uses less digits than its factorization.

138519518709072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3601660 (or 3601654 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 66.

The spelling of 138519518709072 in words is "one hundred thirty-eight trillion, five hundred nineteen billion, five hundred eighteen million, seven hundred nine thousand, seventy-two".