138419280 has 200 divisors, whose sum is σ = 493421544. Its totient is φ = 35942400.

The previous prime is 138419273. The next prime is 138419293. The reversal of 138419280 is 82914831.

It can be written as a sum of positive squares in 4 ways, for example, as 685584 + 137733696 = 828^2 + 11736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 265420 + ... + 265940.

Almost surely, 2^138419280 is an apocalyptic number.

138419280 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 138419280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246710772).

138419280 is an abundant number, since it is smaller than the sum of its proper divisors (355002264).

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

138419280 is a wasteful number, since it uses less digits than its factorization.

138419280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 138419280 is about 11765.1723319295. The cubic root of 138419280 is about 517.2877516493.

The spelling of 138419280 in words is "one hundred thirty-eight million, four hundred nineteen thousand, two hundred eighty".