138005400 has 144 divisors (see below), whose sum is σ = 463597560. Its totient is φ = 33945600.

The previous prime is 138005383. The next prime is 138005423. The reversal of 138005400 is 4500831.

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 35 ways as a sum of consecutive naturals, for example, 100720 + ... + 102080.

Almost surely, 2^138005400 is an apocalyptic number.

138005400 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 138005400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231798780).

138005400 is an abundant number, since it is smaller than the sum of its proper divisors (325592160).

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

138005400 is a wasteful number, since it uses less digits than its factorization.

138005400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 138005400 is about 11747.5699614857. The cubic root of 138005400 is about 516.7716655605.

The spelling of 138005400 in words is "one hundred thirty-eight million, five thousand, four hundred".