137981366784 has 200 divisors, whose sum is σ = 412914836268. Its totient is φ = 45873561600.

The previous prime is 137981366771. The next prime is 137981366821. The reversal of 137981366784 is 487663189731.

It can be written as a sum of positive squares in 2 ways, for example, as 81869232384 + 56112134400 = 286128^2 + 236880^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16626124 + ... + 16634420.

Almost surely, 2^137981366784 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 137981366784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206457418134).

137981366784 is an abundant number, since it is smaller than the sum of its proper divisors (274933469484).

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

137981366784 is an frugal number, since it uses more digits than its factorization.

137981366784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8728 (or 8703 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 137981366784 in words is "one hundred thirty-seven billion, nine hundred eighty-one million, three hundred sixty-six thousand, seven hundred eighty-four".