138684400 has 30 divisors (see below), whose sum is σ = 333190232. Its totient is φ = 55473600.

The previous prime is 138684389. The next prime is 138684431. The reversal of 138684400 is 4486831.

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 5 ways as a sum of consecutive naturals, for example, 172956 + ... + 173755.

Almost surely, 2^138684400 is an apocalyptic number.

138684400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138684400 is an abundant number, since it is smaller than the sum of its proper divisors (194505832).

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

138684400 is a wasteful number, since it uses less digits than its factorization.

138684400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346729 (or 346718 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 138684400 is about 11776.4340952599. The cubic root of 138684400 is about 517.6178016806.

The spelling of 138684400 in words is "one hundred thirty-eight million, six hundred eighty-four thousand, four hundred".