137991446784 has 243 divisors, whose sum is σ = 407282217069. Its totient is φ = 44933253120.

The previous prime is 137991446771. The next prime is 137991446839. The reversal of 137991446784 is 487644199731.

The square root of 137991446784 is 371472.

It is a perfect power (a square), and thus also a powerful number.

137991446784 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 91 + 4 + 467 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96179376384 + 41812070400 = 310128^2 + 204480^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1265976522 + ... + 1265976630.

Almost surely, 2^137991446784 is an apocalyptic number.

137991446784 is the 371472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137991446784

137991446784 is an abundant number, since it is smaller than the sum of its proper divisors (269290770285).

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

137991446784 is an frugal number, since it uses more digits than its factorization.

137991446784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 185 counting only the distinct ones).

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

The spelling of 137991446784 in words is "one hundred thirty-seven billion, nine hundred ninety-one million, four hundred forty-six thousand, seven hundred eighty-four".