138525082272 has 216 divisors, whose sum is σ = 420034489056. Its totient is φ = 43223119104.

The previous prime is 138525082261. The next prime is 138525082303. The reversal of 138525082272 is 272280525831.

138525082272 is a `hidden beast` number, since 1 + 3 + 8 + 52 + 508 + 22 + 72 = 666.

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 35 ways as a sum of consecutive naturals, for example, 14627683 + ... + 14637149.

It is an arithmetic number, because the mean of its divisors is an integer number (1944604116).

Almost surely, 2^138525082272 is an apocalyptic number.

138525082272 is a gapful number since it is divisible by the number (12) 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 138525082272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210017244528).

138525082272 is an abundant number, since it is smaller than the sum of its proper divisors (281509406784).

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

138525082272 is a wasteful number, since it uses less digits than its factorization.

138525082272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9600 (or 9542 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 138525082272 in words is "one hundred thirty-eight billion, five hundred twenty-five million, eighty-two thousand, two hundred seventy-two".