139038197760 has 1440 divisors, whose sum is σ = 634455581760. Its totient is φ = 28798156800.

The previous prime is 139038197741. The next prime is 139038197821. The reversal of 139038197760 is 67791830931.

139038197760 is a `hidden beast` number, since 1 + 390 + 3 + 8 + 197 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 139038197697 and 139038197706.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 447068005 + ... + 447068315.

It is an arithmetic number, because the mean of its divisors is an integer number (440594154).

Almost surely, 2^139038197760 is an apocalyptic number.

139038197760 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 139038197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317227790880).

139038197760 is an abundant number, since it is smaller than the sum of its proper divisors (495417384000).

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

139038197760 is a wasteful number, since it uses less digits than its factorization.

139038197760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 139038197760 in words is "one hundred thirty-nine billion, thirty-eight million, one hundred ninety-seven thousand, seven hundred sixty".