137688172218020 has 12 divisors (see below), whose sum is σ = 289145161657884. Its totient is φ = 55075268887200.

The previous prime is 137688172218007. The next prime is 137688172218041. The reversal of 137688172218020 is 20812271886731.

It can be written as a sum of positive squares in 2 ways, for example, as 14138367050404 + 123549805167616 = 3760102^2 + 11115296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3442204305431 + ... + 3442204305470.

It is an arithmetic number, because the mean of its divisors is an integer number (24095430138157).

Almost surely, 2^{137688172218020} is an apocalyptic number.

137688172218020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137688172218020 is an abundant number, since it is smaller than the sum of its proper divisors (151456989439864).

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

137688172218020 is a wasteful number, since it uses less digits than its factorization.

137688172218020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6884408610910 (or 6884408610908 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 56.

The spelling of 137688172218020 in words is "one hundred thirty-seven trillion, six hundred eighty-eight billion, one hundred seventy-two million, two hundred eighteen thousand, twenty".