138130380 has 96 divisors (see below), whose sum is σ = 452390400. Its totient is φ = 34893504.

The previous prime is 138130379. The next prime is 138130397. The reversal of 138130380 is 83031831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3529 + ... + 16991.

It is an arithmetic number, because the mean of its divisors is an integer number (4712400).

Almost surely, 2^138130380 is an apocalyptic number.

138130380 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 138130380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226195200).

138130380 is an abundant number, since it is smaller than the sum of its proper divisors (314260020).

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

138130380 is a wasteful number, since it uses less digits than its factorization.

138130380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13500 (or 13492 counting only the distinct ones).

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

The square root of 138130380 is about 11752.8881556833. Note that the first 3 decimals coincide. The cubic root of 138130380 is about 516.9276175156.

The spelling of 138130380 in words is "one hundred thirty-eight million, one hundred thirty thousand, three hundred eighty".