138455252729856 has 640 divisors, whose sum is σ = 439793494272000. Its totient is φ = 43430826737664.

The previous prime is 138455252729819. The next prime is 138455252729861. The reversal of 138455252729856 is 658927252554831.

138455252729856 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 5 + 5 + 2 + 527 + 2 + 98 + 5 + 6 = 666.

It is a super-2 number, since 2×138455252729856² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19492500001 + ... + 19492507103.

It is an arithmetic number, because the mean of its divisors is an integer number (687177334800).

Almost surely, 2^{138455252729856} is an apocalyptic number.

138455252729856 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 138455252729856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219896747136000).

138455252729856 is an abundant number, since it is smaller than the sum of its proper divisors (301338241542144).

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

138455252729856 is an frugal number, since it uses more digits than its factorization.

138455252729856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7179 (or 7125 counting only the distinct ones).

The product of its digits is 1451520000, while the sum is 72.

The spelling of 138455252729856 in words is "one hundred thirty-eight trillion, four hundred fifty-five billion, two hundred fifty-two million, seven hundred twenty-nine thousand, eight hundred fifty-six".