139202031919104 has 2688 divisors, whose sum is σ = 536672730746880. Its totient is φ = 33720474009600.

The previous prime is 139202031919099. The next prime is 139202031919117. The reversal of 139202031919104 is 401919130202931.

139202031919104 is a `hidden beast` number, since 13 + 9 + 202 + 0 + 319 + 19 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a self number, because there is not a number n which added to its sum of digits gives 139202031919104.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 833545101229 + ... + 833545101395.

It is an arithmetic number, because the mean of its divisors is an integer number (199655033760).

Almost surely, 2^{139202031919104} is an apocalyptic number.

139202031919104 is a gapful number since it is divisible by the number (14) 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 139202031919104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268336365373440).

139202031919104 is an abundant number, since it is smaller than the sum of its proper divisors (397470698827776).

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

139202031919104 is a wasteful number, since it uses less digits than its factorization.

139202031919104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 139202031919104 in words is "one hundred thirty-nine trillion, two hundred two billion, thirty-one million, nine hundred nineteen thousand, one hundred four".