137838607819 has 8 divisors (see below), whose sum is σ = 150800252400. Its totient is φ = 124948773600.

The previous prime is 137838607769. The next prime is 137838607843. The reversal of 137838607819 is 918706838731.

137838607819 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137838607819 - 2³⁵ = 103478869451 is a prime.

It is a super-2 number, since 2×137838607819² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137838607859) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 17948572 + ... + 17956249.

It is an arithmetic number, because the mean of its divisors is an integer number (18850031550).

Almost surely, 2^137838607819 is an apocalyptic number.

137838607819 is a deficient number, since it is larger than the sum of its proper divisors (12961644581).

137838607819 is a wasteful number, since it uses less digits than its factorization.

137838607819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35905181.

The product of its (nonzero) digits is 12192768, while the sum is 61.

The spelling of 137838607819 in words is "one hundred thirty-seven billion, eight hundred thirty-eight million, six hundred seven thousand, eight hundred nineteen".