138945134374872 has 128 divisors (see below), whose sum is σ = 410958324057600. Its totient is φ = 38303274240000.

The previous prime is 138945134374853. The next prime is 138945134374889. The reversal of 138945134374872 is 278473431549831.

It is a junction number, because it is equal to n+sod(n) for n = 138945134374797 and 138945134374806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2758129 + ... + 16896672.

It is an arithmetic number, because the mean of its divisors is an integer number (3210611906700).

Almost surely, 2^{138945134374872} is an apocalyptic number.

138945134374872 is a gapful number since it is divisible by the number (12) 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 138945134374872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205479162028800).

138945134374872 is an abundant number, since it is smaller than the sum of its proper divisors (272013189682728).

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

138945134374872 is a wasteful number, since it uses less digits than its factorization.

138945134374872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19656297 (or 19656293 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 69.

The spelling of 138945134374872 in words is "one hundred thirty-eight trillion, nine hundred forty-five billion, one hundred thirty-four million, three hundred seventy-four thousand, eight hundred seventy-two".