137948216819 has 24 divisors (see below), whose sum is σ = 160832340000. Its totient is φ = 117974997504.

The previous prime is 137948216807. The next prime is 137948216837. The reversal of 137948216819 is 918612849731.

It is not a de Polignac number, because 137948216819 - 2²⁴ = 137931439603 is a prime.

It is a super-2 number, since 2×137948216819² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (59) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137948216899) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60159437 + ... + 60161729.

It is an arithmetic number, because the mean of its divisors is an integer number (6701347500).

Almost surely, 2^137948216819 is an apocalyptic number.

137948216819 is a deficient number, since it is larger than the sum of its proper divisors (22884123181).

137948216819 is a wasteful number, since it uses less digits than its factorization.

137948216819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4539 (or 4532 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 59.

The spelling of 137948216819 in words is "one hundred thirty-seven billion, nine hundred forty-eight million, two hundred sixteen thousand, eight hundred nineteen".