137963986577280 has 512 divisors, whose sum is σ = 495614234649600. Its totient is φ = 36267678720000.

The previous prime is 137963986577279. The next prime is 137963986577309. The reversal of 137963986577280 is 82775689369731.

137963986577280 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 6 + 39 + 8 + 6 + 577 + 2 + 8 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 137963986577280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 341613870 + ... + 342017490.

It is an arithmetic number, because the mean of its divisors is an integer number (967996552050).

Almost surely, 2^{137963986577280} is an apocalyptic number.

137963986577280 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 137963986577280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247807117324800).

137963986577280 is an abundant number, since it is smaller than the sum of its proper divisors (357650248072320).

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

137963986577280 is a wasteful number, since it uses less digits than its factorization.

137963986577280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403931 (or 403913 counting only the distinct ones).

The product of its (nonzero) digits is 5761082880, while the sum is 81.

The spelling of 137963986577280 in words is "one hundred thirty-seven trillion, nine hundred sixty-three billion, nine hundred eighty-six million, five hundred seventy-seven thousand, two hundred eighty".