138080420 has 24 divisors (see below), whose sum is σ = 290190264. Its totient is φ = 55190016.

The previous prime is 138080399. The next prime is 138080441. The reversal of 138080420 is 24080831.

It is an interprime number because it is at equal distance from previous prime (138080399) and next prime (138080441).

It can be written as a sum of positive squares in 4 ways, for example, as 36312676 + 101767744 = 6026^2 + 10088^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 138080420.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47324 + ... + 50156.

It is an arithmetic number, because the mean of its divisors is an integer number (12091261).

Almost surely, 2^138080420 is an apocalyptic number.

138080420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138080420 is an abundant number, since it is smaller than the sum of its proper divisors (152109844).

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

138080420 is a wasteful number, since it uses less digits than its factorization.

138080420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5279 (or 5277 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 138080420 is about 11750.7625284490. The cubic root of 138080420 is about 516.8652879541.

The spelling of 138080420 in words is "one hundred thirty-eight million, eighty thousand, four hundred twenty".