138066400 has 36 divisors (see below), whose sum is σ = 337056552. Its totient is φ = 55226240.

The previous prime is 138066391. The next prime is 138066403. The reversal of 138066400 is 4660831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138066403) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 85492 + ... + 87091.

It is an arithmetic number, because the mean of its divisors is an integer number (9362682).

Almost surely, 2^138066400 is an apocalyptic number.

138066400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138066400 is an abundant number, since it is smaller than the sum of its proper divisors (198990152).

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

138066400 is a wasteful number, since it uses less digits than its factorization.

138066400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172603 (or 172590 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 138066400 is about 11750.1659562748. The cubic root of 138066400 is about 516.8477940507.

The spelling of 138066400 in words is "one hundred thirty-eight million, sixty-six thousand, four hundred".