137817326680 has 128 divisors (see below), whose sum is σ = 341749601280. Its totient is φ = 49602488320.

The previous prime is 137817326611. The next prime is 137817326723. The reversal of 137817326680 is 86623718731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47083377 + ... + 47086303.

It is an arithmetic number, because the mean of its divisors is an integer number (2669918760).

Almost surely, 2^137817326680 is an apocalyptic number.

137817326680 is a gapful number since it is divisible by the number (10) 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 137817326680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170874800640).

137817326680 is an abundant number, since it is smaller than the sum of its proper divisors (203932274600).

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

137817326680 is a wasteful number, since it uses less digits than its factorization.

137817326680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4009 (or 4005 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 137817326680 in words is "one hundred thirty-seven billion, eight hundred seventeen million, three hundred twenty-six thousand, six hundred eighty".