138107600 has 60 divisors (see below), whose sum is σ = 333044160. Its totient is φ = 55036800.

The previous prime is 138107597. The next prime is 138107603. The reversal of 138107600 is 6701831.

138107600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138107597) and next prime (138107603).

It is a self number, because there is not a number n which added to its sum of digits gives 138107600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138107603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151145 + ... + 152055.

It is an arithmetic number, because the mean of its divisors is an integer number (5550736).

Almost surely, 2^138107600 is an apocalyptic number.

138107600 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 138107600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166522080).

138107600 is an abundant number, since it is smaller than the sum of its proper divisors (194936560).

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

138107600 is a wasteful number, since it uses less digits than its factorization.

138107600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 138107600 is about 11751.9189922327. The cubic root of 138107600 is about 516.8991992957.

The spelling of 138107600 in words is "one hundred thirty-eight million, one hundred seven thousand, six hundred".