138117600 has 108 divisors (see below), whose sum is σ = 487062576. Its totient is φ = 36829440.

The previous prime is 138117557. The next prime is 138117667. The reversal of 138117600 is 6711831.

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 17 ways as a sum of consecutive naturals, for example, 2392 + ... + 16791.

Almost surely, 2^138117600 is an apocalyptic number.

138117600 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 138117600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243531288).

138117600 is an abundant number, since it is smaller than the sum of its proper divisors (348944976).

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

138117600 is a wasteful number, since it uses less digits than its factorization.

138117600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19209 (or 19193 counting only the distinct ones).

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

The square root of 138117600 is about 11752.3444469604. The cubic root of 138117600 is about 516.9116747550.

It can be divided in two parts, 1381 and 17600, that added together give a palindrome (18981).

The spelling of 138117600 in words is "one hundred thirty-eight million, one hundred seventeen thousand, six hundred".