138171600 has 180 divisors, whose sum is σ = 548092896. Its totient is φ = 31576320.

The previous prime is 138171589. The next prime is 138171641. The reversal of 138171600 is 6171831.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 22459 + ... + 27941.

Almost surely, 2^138171600 is an apocalyptic number.

138171600 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 138171600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274046448).

138171600 is an abundant number, since it is smaller than the sum of its proper divisors (409921296).

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

138171600 is a wasteful number, since it uses less digits than its factorization.

138171600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5514 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 138171600 is about 11754.6416363920. The cubic root of 138171600 is about 516.9790318321.

The spelling of 138171600 in words is "one hundred thirty-eight million, one hundred seventy-one thousand, six hundred".