138347600 has 30 divisors (see below), whose sum is σ = 332381070. Its totient is φ = 55338880.

The previous prime is 138347593. The next prime is 138347617. The reversal of 138347600 is 6743831.

It can be written as a sum of positive squares in 3 ways, for example, as 16289296 + 122058304 = 4036^2 + 11048^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 172535 + ... + 173334.

It is an arithmetic number, because the mean of its divisors is an integer number (11079369).

Almost surely, 2^138347600 is an apocalyptic number.

138347600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138347600 is an abundant number, since it is smaller than the sum of its proper divisors (194033470).

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

138347600 is a wasteful number, since it uses less digits than its factorization.

138347600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345887 (or 345876 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 138347600 is about 11762.1256582303. The cubic root of 138347600 is about 517.1984442727.

The spelling of 138347600 in words is "one hundred thirty-eight million, three hundred forty-seven thousand, six hundred".