138028026240 has 1024 divisors, whose sum is σ = 563020416000. Its totient is φ = 31675318272.

The previous prime is 138028026187. The next prime is 138028026247. The reversal of 138028026240 is 42620820831.

138028026240 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 28 + 0 + 2 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 138028026195 and 138028026204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138028026247) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 311575459 + ... + 311575901.

It is an arithmetic number, because the mean of its divisors is an integer number (549824625).

Almost surely, 2^138028026240 is an apocalyptic number.

138028026240 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 138028026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281510208000).

138028026240 is an abundant number, since it is smaller than the sum of its proper divisors (424992389760).

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

138028026240 is a wasteful number, since it uses less digits than its factorization.

138028026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 138028026240 in words is "one hundred thirty-eight billion, twenty-eight million, twenty-six thousand, two hundred forty".