138706956309600 has 1296 divisors, whose sum is σ = 581791331721600. Its totient is φ = 30994377523200.

The previous prime is 138706956309577. The next prime is 138706956309611. The reversal of 138706956309600 is 6903659607831.

138706956309600 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 0 + 6 + 9 + 563 + 0 + 9 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5254237201 + ... + 5254263599.

It is an arithmetic number, because the mean of its divisors is an integer number (448913064600).

Almost surely, 2^{138706956309600} is an apocalyptic number.

138706956309600 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 138706956309600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290895665860800).

138706956309600 is an abundant number, since it is smaller than the sum of its proper divisors (443084375412000).

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

138706956309600 is a wasteful number, since it uses less digits than its factorization.

138706956309600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26773 (or 26750 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 138706956309600 in words is "one hundred thirty-eight trillion, seven hundred six billion, nine hundred fifty-six million, three hundred nine thousand, six hundred".