138229958100 has 288 divisors, whose sum is σ = 435214644480. Its totient is φ = 33672130560.

The previous prime is 138229958047. The next prime is 138229958123. The reversal of 138229958100 is 1859922831.

It is a super-2 number, since 2×138229958100² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 138229958100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 242934616 + ... + 242935184.

It is an arithmetic number, because the mean of its divisors is an integer number (1511161960).

Almost surely, 2^138229958100 is an apocalyptic number.

138229958100 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 138229958100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217607322240).

138229958100 is an abundant number, since it is smaller than the sum of its proper divisors (296984686380).

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

138229958100 is a wasteful number, since it uses less digits than its factorization.

138229958100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The spelling of 138229958100 in words is "one hundred thirty-eight billion, two hundred twenty-nine million, nine hundred fifty-eight thousand, one hundred".