137995328472768 has 1568 divisors, whose sum is σ = 481301934422400. Its totient is φ = 38847412961280.

The previous prime is 137995328472689. The next prime is 137995328472889. The reversal of 137995328472768 is 867274823599731.

137995328472768 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 9 + 53 + 28 + 472 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 189814756821 + ... + 189814757547.

It is an arithmetic number, because the mean of its divisors is an integer number (306952764300).

Almost surely, 2^{137995328472768} is an apocalyptic number.

137995328472768 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 137995328472768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240650967211200).

137995328472768 is an abundant number, since it is smaller than the sum of its proper divisors (343306605949632).

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

137995328472768 is a wasteful number, since it uses less digits than its factorization.

137995328472768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1252 counting only the distinct ones).

The product of its digits is 7681443840, while the sum is 81.

The spelling of 137995328472768 in words is "one hundred thirty-seven trillion, nine hundred ninety-five billion, three hundred twenty-eight million, four hundred seventy-two thousand, seven hundred sixty-eight".