137721823948799 has 16 divisors (see below), whose sum is σ = 138638353835520. Its totient is φ = 136807458263040.

The previous prime is 137721823948769. The next prime is 137721823948837. The reversal of 137721823948799 is 997849328127731.

It is a cyclic number.

It is not a de Polignac number, because 137721823948799 - 2¹² = 137721823944703 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137721823948769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412350479 + ... + 412684335.

It is an arithmetic number, because the mean of its divisors is an integer number (8664897114720).

Almost surely, 2^{137721823948799} is an apocalyptic number.

137721823948799 is a deficient number, since it is larger than the sum of its proper divisors (916529886721).

137721823948799 is a wasteful number, since it uses less digits than its factorization.

137721823948799 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337090.

The product of its digits is 2304433152, while the sum is 80.

The spelling of 137721823948799 in words is "one hundred thirty-seven trillion, seven hundred twenty-one billion, eight hundred twenty-three million, nine hundred forty-eight thousand, seven hundred ninety-nine".