138522557571840 has 864 divisors, whose sum is σ = 549278156883456. Its totient is φ = 31929084149760.

The previous prime is 138522557571833. The next prime is 138522557571841. The reversal of 138522557571840 is 48175755225831.

138522557571840 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 2 + 2 + 5 + 57 + 571 + 8 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (138522557571841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 501408145 + ... + 501684335.

It is an arithmetic number, because the mean of its divisors is an integer number (635738607504).

Almost surely, 2^{138522557571840} is an apocalyptic number.

138522557571840 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 138522557571840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274639078441728).

138522557571840 is an abundant number, since it is smaller than the sum of its proper divisors (410755599311616).

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

138522557571840 is a wasteful number, since it uses less digits than its factorization.

138522557571840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276445 (or 276428 counting only the distinct ones).

The product of its (nonzero) digits is 94080000, while the sum is 63.

The spelling of 138522557571840 in words is "one hundred thirty-eight trillion, five hundred twenty-two billion, five hundred fifty-seven million, five hundred seventy-one thousand, eight hundred forty".