138315060 has 384 divisors, whose sum is σ = 524966400. Its totient is φ = 29859840.

The previous prime is 138315059. The next prime is 138315083. The reversal of 138315060 is 60513831.

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 127 ways as a sum of consecutive naturals, for example, 2267430 + ... + 2267490.

It is an arithmetic number, because the mean of its divisors is an integer number (1367100).

Almost surely, 2^138315060 is an apocalyptic number.

138315060 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 138315060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262483200).

138315060 is an abundant number, since it is smaller than the sum of its proper divisors (386651340).

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

138315060 is a wasteful number, since it uses less digits than its factorization.

138315060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 138315060 is about 11760.7423235100. The cubic root of 138315060 is about 517.1578919320.

Adding to 138315060 its reverse (60513831), we get a palindrome (198828891).

The spelling of 138315060 in words is "one hundred thirty-eight million, three hundred fifteen thousand, sixty".