139930132666368 has 1152 divisors, whose sum is σ = 432749647249920. Its totient is φ = 40139056742400.

The previous prime is 139930132666339. The next prime is 139930132666403. The reversal of 139930132666368 is 863666231039931.

It is a super-2 number, since 2×139930132666368² (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 = 139930132666299 and 139930132666308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142350083605 + ... + 142350084587.

It is an arithmetic number, because the mean of its divisors is an integer number (375650735460).

Almost surely, 2^{139930132666368} 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 139930132666368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216374823624960).

139930132666368 is an abundant number, since it is smaller than the sum of its proper divisors (292819514583552).

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

139930132666368 is a wasteful number, since it uses less digits than its factorization.

139930132666368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 136048896, while the sum is 66.

The spelling of 139930132666368 in words is "one hundred thirty-nine trillion, nine hundred thirty billion, one hundred thirty-two million, six hundred sixty-six thousand, three hundred sixty-eight".