139329864000 has 336 divisors, whose sum is σ = 511886368656. Its totient is φ = 36149760000.

The previous prime is 139329863989. The next prime is 139329864007. The reversal of 139329864000 is 468923931.

It is a happy number.

139329864000 is a `hidden beast` number, since 139 + 32 + 9 + 86 + 400 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2672476416 + 136657387584 = 51696^2 + 369672^2 .

It is a super-2 number, since 2×139329864000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139329864007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2637850 + ... + 2690150.

Almost surely, 2^139329864000 is an apocalyptic number.

139329864000 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 139329864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255943184328).

139329864000 is an abundant number, since it is smaller than the sum of its proper divisors (372556504656).

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

139329864000 is a wasteful number, since it uses less digits than its factorization.

139329864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52371 (or 52348 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 139329864000 in words is "one hundred thirty-nine billion, three hundred twenty-nine million, eight hundred sixty-four thousand".