139252965696000 has 3840 divisors, whose sum is σ = 579692047334400. Its totient is φ = 33108590592000.

The previous prime is 139252965695953. The next prime is 139252965696007. The reversal of 139252965696000 is 696569252931.

139252965696000 is a `hidden beast` number, since 1 + 3 + 9 + 2 + 5 + 2 + 9 + 6 + 569 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is not an unprimeable number, because it can be changed into a prime (139252965696007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1277550143946 + ... + 1277550144054.

It is an arithmetic number, because the mean of its divisors is an integer number (150961470660).

Almost surely, 2^{139252965696000} is an apocalyptic number.

139252965696000 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 139252965696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289846023667200).

139252965696000 is an abundant number, since it is smaller than the sum of its proper divisors (440439081638400).

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

139252965696000 is an equidigital number, since it uses as much as digits as its factorization.

139252965696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 47239200, while the sum is 63.

The spelling of 139252965696000 in words is "one hundred thirty-nine trillion, two hundred fifty-two billion, nine hundred sixty-five million, six hundred ninety-six thousand".