138951574215168 has 1280 divisors, whose sum is σ = 447064890015744. Its totient is φ = 37801017999360.

The previous prime is 138951574215151. The next prime is 138951574215197. The reversal of 138951574215168 is 861512475159831.

It is a super-2 number, since 2×138951574215168² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 138951574215099 and 138951574215108.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 393630521680 + ... + 393630522032.

Almost surely, 2^{138951574215168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138951574215168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223532445007872).

138951574215168 is an abundant number, since it is smaller than the sum of its proper divisors (308113315800576).

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

138951574215168 is a wasteful number, since it uses less digits than its factorization.

138951574215168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 749 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 66.

The spelling of 138951574215168 in words is "one hundred thirty-eight trillion, nine hundred fifty-one billion, five hundred seventy-four million, two hundred fifteen thousand, one hundred sixty-eight".