139968224000 has 576 divisors, whose sum is σ = 399656484864. Its totient is φ = 48384000000.

The previous prime is 139968223991. The next prime is 139968224021. The reversal of 139968224000 is 422869931.

It is a super-2 number, since 2×139968224000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1102111937 + ... + 1102112063.

It is an arithmetic number, because the mean of its divisors is an integer number (693848064).

Almost surely, 2^139968224000 is an apocalyptic number.

139968224000 is a gapful number since it is divisible by the number (10) 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 139968224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199828242432).

139968224000 is an abundant number, since it is smaller than the sum of its proper divisors (259688260864).

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

139968224000 is a wasteful number, since it uses less digits than its factorization.

139968224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The spelling of 139968224000 in words is "one hundred thirty-nine billion, nine hundred sixty-eight million, two hundred twenty-four thousand".