138278400 has 240 divisors, whose sum is σ = 493707984. Its totient is φ = 33914880.

The previous prime is 138278377. The next prime is 138278417. The reversal of 138278400 is 4872831.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499062 + ... + 499338.

Almost surely, 2^138278400 is an apocalyptic number.

138278400 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 138278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246853992).

138278400 is an abundant number, since it is smaller than the sum of its proper divisors (355429584).

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

138278400 is a wasteful number, since it uses less digits than its factorization.

138278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 138278400 is about 11759.1836451346. The cubic root of 138278400 is about 517.1121975018.

The spelling of 138278400 in words is "one hundred thirty-eight million, two hundred seventy-eight thousand, four hundred".