138477956039280 has 1920 divisors, whose sum is σ = 594703356549120. Its totient is φ = 29361976934400.

The previous prime is 138477956039279. The next prime is 138477956039333. The reversal of 138477956039280 is 82930659774831.

138477956039280 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 7 + 7 + 9 + 5 + 603 + 9 + 2 + 8 + 0 = 666.

It is a super-2 number, since 2×138477956039280² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 138477956039199 and 138477956039208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8361682200 + ... + 8361698760.

It is an arithmetic number, because the mean of its divisors is an integer number (309741331536).

It is a 1-persistent number, because it is pandigital, but 2⋅138477956039280 = 276955912078560 is not.

Almost surely, 2^{138477956039280} is an apocalyptic number.

138477956039280 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 138477956039280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297351678274560).

138477956039280 is an abundant number, since it is smaller than the sum of its proper divisors (456225400509840).

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

138477956039280 is a wasteful number, since it uses less digits than its factorization.

138477956039280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16748 (or 16725 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 138477956039280 in words is "one hundred thirty-eight trillion, four hundred seventy-seven billion, nine hundred fifty-six million, thirty-nine thousand, two hundred eighty".