138257363524224 has 256 divisors, whose sum is σ = 429975476985600. Its totient is φ = 38536056668160.

The previous prime is 138257363524223. The next prime is 138257363524337. The reversal of 138257363524224 is 422425363752831.

It is not an unprimeable number, because it can be changed into a prime (138257363524223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2139876432 + ... + 2139941040.

It is an arithmetic number, because the mean of its divisors is an integer number (1679591706975).

Almost surely, 2^{138257363524224} is an apocalyptic number.

138257363524224 is a gapful number since it is divisible by the number (14) 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 138257363524224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214987738492800).

138257363524224 is an abundant number, since it is smaller than the sum of its proper divisors (291718113461376).

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

138257363524224 is a wasteful number, since it uses less digits than its factorization.

138257363524224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84091 (or 84079 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 57.

The spelling of 138257363524224 in words is "one hundred thirty-eight trillion, two hundred fifty-seven billion, three hundred sixty-three million, five hundred twenty-four thousand, two hundred twenty-four".