138779825184 has 864 divisors, whose sum is σ = 540208206720. Its totient is φ = 32882319360.

The previous prime is 138779825141. The next prime is 138779825201. The reversal of 138779825184 is 481528977831.

138779825184 is a `hidden beast` number, since 1 + 38 + 7 + 7 + 9 + 82 + 518 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 339314772 + ... + 339315180.

It is an arithmetic number, because the mean of its divisors is an integer number (625240980).

Almost surely, 2^138779825184 is an apocalyptic number.

138779825184 is a gapful number since it is divisible by the number (14) 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 138779825184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270104103360).

138779825184 is an abundant number, since it is smaller than the sum of its proper divisors (401428381536).

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

138779825184 is a wasteful number, since it uses less digits than its factorization.

138779825184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 552 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 63.

The spelling of 138779825184 in words is "one hundred thirty-eight billion, seven hundred seventy-nine million, eight hundred twenty-five thousand, one hundred eighty-four".