138677739408 has 360 divisors, whose sum is σ = 433019618304. Its totient is φ = 41182525440.

The previous prime is 138677739337. The next prime is 138677739419. The reversal of 138677739408 is 804937776831.

138677739408 is a `hidden beast` number, since 13 + 86 + 77 + 73 + 9 + 408 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 399647491 + ... + 399647837.

Almost surely, 2^138677739408 is an apocalyptic number.

138677739408 is a gapful number since it is divisible by the number (18) 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 138677739408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216509809152).

138677739408 is an abundant number, since it is smaller than the sum of its proper divisors (294341878896).

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

138677739408 is a wasteful number, since it uses less digits than its factorization.

138677739408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 138677739408 in words is "one hundred thirty-eight billion, six hundred seventy-seven million, seven hundred thirty-nine thousand, four hundred eight".