138236400 has 360 divisors, whose sum is σ = 527704320. Its totient is φ = 33384960.

The previous prime is 138236369. The next prime is 138236429. The reversal of 138236400 is 4632831.

It is a happy number.

138236400 is a `hidden beast` number, since 13 + 8 + 2 + 3 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 2941177 + ... + 2941223.

Almost surely, 2^138236400 is an apocalyptic number.

138236400 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 138236400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263852160).

138236400 is an abundant number, since it is smaller than the sum of its proper divisors (389467920).

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

138236400 is a wasteful number, since it uses less digits than its factorization.

138236400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 138236400 is about 11757.3976712536. The cubic root of 138236400 is about 517.0598371631.

The spelling of 138236400 in words is "one hundred thirty-eight million, two hundred thirty-six thousand, four hundred".