139007159107200 has 2304 divisors, whose sum is σ = 559754016307200. Its totient is φ = 32676339548160.

The previous prime is 139007159107127. The next prime is 139007159107231. The reversal of 139007159107200 is 2701951700931.

It is a happy number.

139007159107200 is a `hidden beast` number, since 1 + 39 + 0 + 0 + 7 + 1 + 591 + 0 + 7 + 20 + 0 = 666.

139007159107200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 214848777277 + ... + 214848777923.

It is an arithmetic number, because the mean of its divisors is an integer number (242948791800).

Almost surely, 2^{139007159107200} is an apocalyptic number.

139007159107200 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 139007159107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279877008153600).

139007159107200 is an abundant number, since it is smaller than the sum of its proper divisors (420746857200000).

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

139007159107200 is a wasteful number, since it uses less digits than its factorization.

139007159107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 45.

The spelling of 139007159107200 in words is "one hundred thirty-nine trillion, seven billion, one hundred fifty-nine million, one hundred seven thousand, two hundred".