137678566878216 has 384 divisors, whose sum is σ = 484442562240000. Its totient is φ = 35058730839552.

The previous prime is 137678566878211. The next prime is 137678566878221. The reversal of 137678566878216 is 612878665876731.

137678566878216 is a `hidden beast` number, since 1 + 37 + 6 + 7 + 8 + 566 + 8 + 7 + 8 + 2 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (137678566878211) and next prime (137678566878221).

It is not an unprimeable number, because it can be changed into a prime (137678566878211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1916581 + ... + 16704203.

It is an arithmetic number, because the mean of its divisors is an integer number (1261569172500).

Almost surely, 2^{137678566878216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137678566878216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242221281120000).

137678566878216 is an abundant number, since it is smaller than the sum of its proper divisors (346763995361784).

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

137678566878216 is a wasteful number, since it uses less digits than its factorization.

137678566878216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14787698 (or 14787677 counting only the distinct ones).

The product of its digits is 6827950080, while the sum is 81.

The spelling of 137678566878216 in words is "one hundred thirty-seven trillion, six hundred seventy-eight billion, five hundred sixty-six million, eight hundred seventy-eight thousand, two hundred sixteen".