138104282786600 has 192 divisors, whose sum is σ = 361071829923840. Its totient is φ = 48742102886400.

The previous prime is 138104282786593. The next prime is 138104282786611. The reversal of 138104282786600 is 6687282401831.

It is a super-2 number, since 2×138104282786600² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87180812 + ... + 88750788.

It is an arithmetic number, because the mean of its divisors is an integer number (1880582447520).

Almost surely, 2^{138104282786600} is an apocalyptic number.

138104282786600 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 138104282786600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180535914961920).

138104282786600 is an abundant number, since it is smaller than the sum of its proper divisors (222967547137240).

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

138104282786600 is a wasteful number, since it uses less digits than its factorization.

138104282786600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571500 (or 1571491 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 56.

The spelling of 138104282786600 in words is "one hundred thirty-eight trillion, one hundred four billion, two hundred eighty-two million, seven hundred eighty-six thousand, six hundred".