138918017680 has 160 divisors (see below), whose sum is σ = 353202393600. Its totient is φ = 50504103936.

The previous prime is 138918017677. The next prime is 138918017701. The reversal of 138918017680 is 86710819831.

It is a super-2 number, since 2×138918017680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 32615391 + ... + 32619649.

It is an arithmetic number, because the mean of its divisors is an integer number (2207514960).

Almost surely, 2^138918017680 is an apocalyptic number.

138918017680 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 138918017680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176601196800).

138918017680 is an abundant number, since it is smaller than the sum of its proper divisors (214284375920).

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

138918017680 is a wasteful number, since it uses less digits than its factorization.

138918017680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761 (or 4755 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 52.

The spelling of 138918017680 in words is "one hundred thirty-eight billion, nine hundred eighteen million, seventeen thousand, six hundred eighty".