138206171600 has 480 divisors, whose sum is σ = 417587558400. Its totient is φ = 42865459200.

The previous prime is 138206171599. The next prime is 138206171633. The reversal of 138206171600 is 6171602831.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 337912196 + ... + 337912604.

It is an arithmetic number, because the mean of its divisors is an integer number (869974080).

Almost surely, 2^138206171600 is an apocalyptic number.

138206171600 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 138206171600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208793779200).

138206171600 is an abundant number, since it is smaller than the sum of its proper divisors (279381386800).

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

138206171600 is a wasteful number, since it uses less digits than its factorization.

138206171600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The spelling of 138206171600 in words is "one hundred thirty-eight billion, two hundred six million, one hundred seventy-one thousand, six hundred".