139409105996160 has 4608 divisors, whose sum is σ = 700601102438400. Its totient is φ = 25868176588800.

The previous prime is 139409105996131. The next prime is 139409105996189. The reversal of 139409105996160 is 61699501904931.

139409105996160 is a `hidden beast` number, since 1 + 3 + 9 + 4 + 0 + 9 + 1 + 0 + 5 + 9 + 9 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (139409105996131) and next prime (139409105996189).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 48795625452 + ... + 48795628308.

It is an arithmetic number, because the mean of its divisors is an integer number (152040169800).

Almost surely, 2^{139409105996160} is an apocalyptic number.

139409105996160 is a gapful number since it is divisible by the number (10) 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 139409105996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350300551219200).

139409105996160 is an abundant number, since it is smaller than the sum of its proper divisors (561191996442240).

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

139409105996160 is a wasteful number, since it uses less digits than its factorization.

139409105996160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 14171760, while the sum is 63.

The spelling of 139409105996160 in words is "one hundred thirty-nine trillion, four hundred nine billion, one hundred five million, nine hundred ninety-six thousand, one hundred sixty".