138454352974080 has 1440 divisors, whose sum is σ = 597758808100608. Its totient is φ = 30145300070400.

The previous prime is 138454352974079. The next prime is 138454352974123. The reversal of 138454352974080 is 80479253454831.

It is a happy number.

138454352974080 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 543 + 5 + 2 + 9 + 7 + 4 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×138454352974080² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 138454352973999 and 138454352974017.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 548444685 + ... + 548697075.

Almost surely, 2^{138454352974080} is an apocalyptic number.

138454352974080 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 138454352974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298879404050304).

138454352974080 is an abundant number, since it is smaller than the sum of its proper divisors (459304455126528).

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

138454352974080 is a wasteful number, since it uses less digits than its factorization.

138454352974080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252485 (or 252462 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 138454352974080 in words is "one hundred thirty-eight trillion, four hundred fifty-four billion, three hundred fifty-two million, nine hundred seventy-four thousand, eighty".