138607286899200 has 2880 divisors, whose sum is σ = 587787240066048. Its totient is φ = 28577680588800.

The previous prime is 138607286899199. The next prime is 138607286899219. The reversal of 138607286899200 is 2998682706831.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 112051160982 + ... + 112051162218.

Almost surely, 2^{138607286899200} is an apocalyptic number.

138607286899200 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 138607286899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293893620033024).

138607286899200 is an abundant number, since it is smaller than the sum of its proper divisors (449179953166848).

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

138607286899200 is a wasteful number, since it uses less digits than its factorization.

138607286899200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 69.

The spelling of 138607286899200 in words is "one hundred thirty-eight trillion, six hundred seven billion, two hundred eighty-six million, eight hundred ninety-nine thousand, two hundred".