138935106576 has 640 divisors, whose sum is σ = 511617254400. Its totient is φ = 35177103360.

The previous prime is 138935106553. The next prime is 138935106619. The reversal of 138935106576 is 675601539831.

138935106576 is a `hidden beast` number, since 1 + 38 + 9 + 35 + 1 + 0 + 6 + 576 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61122976 + ... + 61125248.

It is an arithmetic number, because the mean of its divisors is an integer number (799401960).

Almost surely, 2^138935106576 is an apocalyptic number.

138935106576 is a gapful number since it is divisible by the number (16) 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 138935106576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255808627200).

138935106576 is an abundant number, since it is smaller than the sum of its proper divisors (372682147824).

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

138935106576 is a wasteful number, since it uses less digits than its factorization.

138935106576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 138935106576 in words is "one hundred thirty-eight billion, nine hundred thirty-five million, one hundred six thousand, five hundred seventy-six".