138124580 has 48 divisors (see below), whose sum is σ = 318136896. Its totient is φ = 49956480.

The previous prime is 138124577. The next prime is 138124583. The reversal of 138124580 is 85421831.

138124580 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138124577) and next prime (138124583).

It is not an unprimeable number, because it can be changed into a prime (138124583) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 41747 + ... + 44933.

It is an arithmetic number, because the mean of its divisors is an integer number (6627852).

Almost surely, 2^138124580 is an apocalyptic number.

138124580 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 138124580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159068448).

138124580 is an abundant number, since it is smaller than the sum of its proper divisors (180012316).

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

138124580 is a wasteful number, since it uses less digits than its factorization.

138124580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 138124580 is about 11752.6414052331. The cubic root of 138124580 is about 516.9203822688.

The spelling of 138124580 in words is "one hundred thirty-eight million, one hundred twenty-four thousand, five hundred eighty".