138523600 has 30 divisors (see below), whose sum is σ = 332803910. Its totient is φ = 55409280.

The previous prime is 138523589. The next prime is 138523601. The reversal of 138523600 is 6325831.

It can be written as a sum of positive squares in 3 ways, for example, as 8928144 + 129595456 = 2988^2 + 11384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138523601) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 172755 + ... + 173554.

Almost surely, 2^138523600 is an apocalyptic number.

138523600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138523600 is an abundant number, since it is smaller than the sum of its proper divisors (194280310).

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

138523600 is a wasteful number, since it uses less digits than its factorization.

138523600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346327 (or 346316 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 138523600 is about 11769.6049211518. The cubic root of 138523600 is about 517.4176707073.

The spelling of 138523600 in words is "one hundred thirty-eight million, five hundred twenty-three thousand, six hundred".