139105171296 has 288 divisors, whose sum is σ = 498746783808. Its totient is φ = 35791994880.

The previous prime is 139105171267. The next prime is 139105171297. The reversal of 139105171296 is 692171501931.

139105171296 is a `hidden beast` number, since 1 + 3 + 9 + 1 + 0 + 517 + 129 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139105171297) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1009800 + ... + 1139256.

It is an arithmetic number, because the mean of its divisors is an integer number (1731759666).

Almost surely, 2^139105171296 is an apocalyptic number.

139105171296 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 139105171296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249373391904).

139105171296 is an abundant number, since it is smaller than the sum of its proper divisors (359641612512).

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

139105171296 is a wasteful number, since it uses less digits than its factorization.

139105171296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129534 (or 129523 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 139105171296 in words is "one hundred thirty-nine billion, one hundred five million, one hundred seventy-one thousand, two hundred ninety-six".