138819671424 has 768 divisors, whose sum is σ = 520386048000. Its totient is φ = 35916908544.

The previous prime is 138819671381. The next prime is 138819671483. The reversal of 138819671424 is 424176918831.

138819671424 is a `hidden beast` number, since 1 + 388 + 196 + 71 + 4 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95146407 + ... + 95147865.

It is an arithmetic number, because the mean of its divisors is an integer number (677586000).

Almost surely, 2^138819671424 is an apocalyptic number.

138819671424 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 138819671424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260193024000).

138819671424 is an abundant number, since it is smaller than the sum of its proper divisors (381566376576).

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

138819671424 is a wasteful number, since it uses less digits than its factorization.

138819671424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1513 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 138819671424 in words is "one hundred thirty-eight billion, eight hundred nineteen million, six hundred seventy-one thousand, four hundred twenty-four".