139126429905120 has 576 divisors, whose sum is σ = 543721899442176. Its totient is φ = 31734216806400.

The previous prime is 139126429905059. The next prime is 139126429905137. The reversal of 139126429905120 is 21509924621931.

139126429905120 is a `hidden beast` number, since 1 + 3 + 9 + 1 + 2 + 6 + 429 + 90 + 5 + 120 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22803870070 + ... + 22803876170.

It is an arithmetic number, because the mean of its divisors is an integer number (943961630976).

Almost surely, 2^{139126429905120} is an apocalyptic number.

139126429905120 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 139126429905120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271860949721088).

139126429905120 is an abundant number, since it is smaller than the sum of its proper divisors (404595469537056).

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

139126429905120 is a wasteful number, since it uses less digits than its factorization.

139126429905120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10463 (or 10452 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 139126429905120 in words is "one hundred thirty-nine trillion, one hundred twenty-six billion, four hundred twenty-nine million, nine hundred five thousand, one hundred twenty".