138079128100 has 27 divisors (see below), whose sum is σ = 299639771697. Its totient is φ = 55230164880.

The previous prime is 138079128097. The next prime is 138079128151. The reversal of 138079128100 is 1821970831.

The square root of 138079128100 is 371590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 49708486116 + 88370641984 = 222954^2 + 297272^2 .

It is a super-2 number, since 2×138079128100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3697321 + ... + 3734479.

Almost surely, 2^138079128100 is an apocalyptic number.

138079128100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138079128100 is the 371590-th square number.

It is an amenable number.

138079128100 is an abundant number, since it is smaller than the sum of its proper divisors (161560643597).

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

138079128100 is an frugal number, since it uses more digits than its factorization.

138079128100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74332 (or 37166 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 40.

The spelling of 138079128100 in words is "one hundred thirty-eight billion, seventy-nine million, one hundred twenty-eight thousand, one hundred".