138249670672512 has 1024 divisors, whose sum is σ = 497591838720000. Its totient is φ = 36909947289600.

The previous prime is 138249670672511. The next prime is 138249670672523. The reversal of 138249670672512 is 215276076942831.

It is a happy number.

138249670672512 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 49 + 6 + 7 + 0 + 6 + 72 + 512 = 666.

It is a super-2 number, since 2×138249670672512² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 138249670672512.

It is not an unprimeable number, because it can be changed into a prime (138249670672511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17631633712 + ... + 17631641552.

It is an arithmetic number, because the mean of its divisors is an integer number (485929530000).

It is a 1-persistent number, because it is pandigital, but 2⋅138249670672512 = 276499341345024 is not.

Almost surely, 2^{138249670672512} is an apocalyptic number.

138249670672512 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 138249670672512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248795919360000).

138249670672512 is an abundant number, since it is smaller than the sum of its proper divisors (359342168047488).

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

138249670672512 is a wasteful number, since it uses less digits than its factorization.

138249670672512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8410 (or 8392 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 138249670672512 in words is "one hundred thirty-eight trillion, two hundred forty-nine billion, six hundred seventy million, six hundred seventy-two thousand, five hundred twelve".