138316080 has 320 divisors, whose sum is σ = 539965440. Its totient is φ = 28557312.

The previous prime is 138316069. The next prime is 138316091. The reversal of 138316080 is 80613831.

It is an interprime number because it is at equal distance from previous prime (138316069) and next prime (138316091).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 828157 + ... + 828323.

It is an arithmetic number, because the mean of its divisors is an integer number (1687392).

Almost surely, 2^138316080 is an apocalyptic number.

138316080 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 138316080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269982720).

138316080 is an abundant number, since it is smaller than the sum of its proper divisors (401649360).

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

138316080 is a wasteful number, since it uses less digits than its factorization.

138316080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 138316080 is about 11760.7856880397. The cubic root of 138316080 is about 517.1591631837.

The spelling of 138316080 in words is "one hundred thirty-eight million, three hundred sixteen thousand, eighty".