138470400 has 198 divisors, whose sum is σ = 496614482. Its totient is φ = 36864000.

The previous prime is 138470351. The next prime is 138470401. The reversal of 138470400 is 4074831.

It can be written as a sum of positive squares in 3 ways, for example, as 24920064 + 113550336 = 4992^2 + 10656^2 .

It is not an unprimeable number, because it can be changed into a prime (138470401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 230100 + ... + 230700.

Almost surely, 2^138470400 is an apocalyptic number.

138470400 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 138470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248307241).

138470400 is an abundant number, since it is smaller than the sum of its proper divisors (358144082).

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

138470400 is a wasteful number, since it uses less digits than its factorization.

138470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 138470400 is about 11767.3446452460. The cubic root of 138470400 is about 517.3514241262.

The spelling of 138470400 in words is "one hundred thirty-eight million, four hundred seventy thousand, four hundred".