138569257008 has 720 divisors, whose sum is σ = 509073417216. Its totient is φ = 35712368640.

The previous prime is 138569256997. The next prime is 138569257009. The reversal of 138569257008 is 800752965831.

138569257008 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 69 + 2 + 570 + 0 + 8 = 666.

It is a super-2 number, since 2×138569257008² (a number of 23 digits) contains 22 as substring.

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 (138569257009) 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 143 ways as a sum of consecutive naturals, for example, 216176368 + ... + 216177008.

Almost surely, 2^138569257008 is an apocalyptic number.

138569257008 is a gapful number since it is divisible by the number (18) 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 138569257008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254536708608).

138569257008 is an abundant number, since it is smaller than the sum of its proper divisors (370504160208).

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

138569257008 is a wasteful number, since it uses less digits than its factorization.

138569257008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 138569257008 in words is "one hundred thirty-eight billion, five hundred sixty-nine million, two hundred fifty-seven thousand, eight".