138321600 has 84 divisors (see below), whose sum is σ = 453825864. Its totient is φ = 36884480.

The previous prime is 138321593. The next prime is 138321629. The reversal of 138321600 is 6123831.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 9609 + ... + 19208.

Almost surely, 2^138321600 is an apocalyptic number.

138321600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138321600 is an abundant number, since it is smaller than the sum of its proper divisors (315504264).

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

138321600 is a wasteful number, since it uses less digits than its factorization.

138321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28842 (or 28827 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 138321600 is about 11761.0203638970. The cubic root of 138321600 is about 517.1660427902.

The spelling of 138321600 in words is "one hundred thirty-eight million, three hundred twenty-one thousand, six hundred".