138038130 has 96 divisors (see below), whose sum is σ = 384943104. Its totient is φ = 34195968.

The previous prime is 138038119. The next prime is 138038149. The reversal of 138038130 is 31830831.

It is a junction number, because it is equal to n+sod(n) for n = 138038094 and 138038103.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 126447 + ... + 127533.

It is an arithmetic number, because the mean of its divisors is an integer number (4009824).

Almost surely, 2^138038130 is an apocalyptic number.

138038130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138038130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192471552).

138038130 is an abundant number, since it is smaller than the sum of its proper divisors (246904974).

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

138038130 is a wasteful number, since it uses less digits than its factorization.

138038130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 138038130 is about 11748.9629329571. The cubic root of 138038130 is about 516.8125156520.

Adding to 138038130 its reverse (31830831), we get a palindrome (169868961).

The spelling of 138038130 in words is "one hundred thirty-eight million, thirty-eight thousand, one hundred thirty".