138716280 has 256 divisors, whose sum is σ = 494208000. Its totient is φ = 34546176.

The previous prime is 138716273. The next prime is 138716297. The reversal of 138716280 is 82617831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1346709 + ... + 1346811.

It is an arithmetic number, because the mean of its divisors is an integer number (1930500).

Almost surely, 2^138716280 is an apocalyptic number.

138716280 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 138716280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247104000).

138716280 is an abundant number, since it is smaller than the sum of its proper divisors (355491720).

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

138716280 is a wasteful number, since it uses less digits than its factorization.

138716280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 138716280 is about 11777.7875681301. The cubic root of 138716280 is about 517.6574610108.

The spelling of 138716280 in words is "one hundred thirty-eight million, seven hundred sixteen thousand, two hundred eighty".