139199100768 has 576 divisors, whose sum is σ = 525975690240. Its totient is φ = 33900539904.

The previous prime is 139199100767. The next prime is 139199100793. The reversal of 139199100768 is 867001991931.

It is a happy number.

139199100768 is a `hidden beast` number, since 1 + 391 + 99 + 100 + 7 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139199100767) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 17476755 + ... + 17484717.

It is an arithmetic number, because the mean of its divisors is an integer number (913152240).

Almost surely, 2^139199100768 is an apocalyptic number.

139199100768 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 139199100768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262987845120).

139199100768 is an abundant number, since it is smaller than the sum of its proper divisors (386776589472).

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

139199100768 is a wasteful number, since it uses less digits than its factorization.

139199100768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8051 (or 8040 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 54.

The spelling of 139199100768 in words is "one hundred thirty-nine billion, one hundred ninety-nine million, one hundred thousand, seven hundred sixty-eight".