138528726336 has 1344 divisors, whose sum is σ = 590174242560. Its totient is φ = 31213486080.

The previous prime is 138528726289. The next prime is 138528726337. The reversal of 138528726336 is 633627825831.

It is a happy number.

138528726336 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 287 + 26 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138528726337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 205837296 + ... + 205837968.

It is an arithmetic number, because the mean of its divisors is an integer number (439117740).

Almost surely, 2^138528726336 is an apocalyptic number.

138528726336 is a gapful number since it is divisible by the number (16) 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 138528726336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295087121280).

138528726336 is an abundant number, since it is smaller than the sum of its proper divisors (451645516224).

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

138528726336 is a wasteful number, since it uses less digits than its factorization.

138528726336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 726 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 138528726336 in words is "one hundred thirty-eight billion, five hundred twenty-eight million, seven hundred twenty-six thousand, three hundred thirty-six".