139393905735168 has 720 divisors, whose sum is σ = 475512575153616. Its totient is φ = 39188531773440.

The previous prime is 139393905735167. The next prime is 139393905735179. The reversal of 139393905735168 is 861537509393931.

139393905735168 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 9 + 39 + 0 + 5 + 73 + 516 + 8 = 666.

It is a super-2 number, since 2×139393905735168² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 139393905735096 and 139393905735105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139393905735167) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7137049563 + ... + 7137069093.

Almost surely, 2^{139393905735168} is an apocalyptic number.

139393905735168 is a gapful number since it is divisible by the number (18) 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 139393905735168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237756287576808).

139393905735168 is an abundant number, since it is smaller than the sum of its proper divisors (336118669418448).

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

139393905735168 is a wasteful number, since it uses less digits than its factorization.

139393905735168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20075 (or 20049 counting only the distinct ones).

The product of its (nonzero) digits is 496011600, while the sum is 72.

The spelling of 139393905735168 in words is "one hundred thirty-nine trillion, three hundred ninety-three billion, nine hundred five million, seven hundred thirty-five thousand, one hundred sixty-eight".