137985447794688 has 1920 divisors, whose sum is σ = 479267499110400. Its totient is φ = 39228663398400.

The previous prime is 137985447794633. The next prime is 137985447794693. The reversal of 137985447794688 is 886497744589731.

137985447794688 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 8 + 54 + 477 + 9 + 4 + 6 + 88 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 137985447794598 and 137985447794607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 199689504423 + ... + 199689505113.

It is an arithmetic number, because the mean of its divisors is an integer number (249618489120).

Almost surely, 2^{137985447794688} is an apocalyptic number.

137985447794688 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 137985447794688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239633749555200).

137985447794688 is an abundant number, since it is smaller than the sum of its proper divisors (341282051315712).

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

137985447794688 is a wasteful number, since it uses less digits than its factorization.

137985447794688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 872 counting only the distinct ones).

The product of its digits is 81935400960, while the sum is 90.

The spelling of 137985447794688 in words is "one hundred thirty-seven trillion, nine hundred eighty-five billion, four hundred forty-seven million, seven hundred ninety-four thousand, six hundred eighty-eight".