138728016 has 90 divisors (see below), whose sum is σ = 451655802. Its totient is φ = 39634560.

The previous prime is 138728003. The next prime is 138728021. The reversal of 138728016 is 610827831.

It can be written as a sum of positive squares in only one way, i.e., 121088016 + 17640000 = 11004^2 + 4200^2 .

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 17 ways as a sum of consecutive naturals, for example, 2775 + ... + 16886.

Almost surely, 2^138728016 is an apocalyptic number.

138728016 is a gapful number since it is divisible by the number (16) 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 138728016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225827901).

138728016 is an abundant number, since it is smaller than the sum of its proper divisors (312927786).

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

138728016 is a wasteful number, since it uses less digits than its factorization.

138728016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19689 (or 19673 counting only the distinct ones).

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

The square root of 138728016 is about 11778.2857835935. The cubic root of 138728016 is about 517.6720592892.

It can be divided in two parts, 1387 and 28016, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 138728016 in words is "one hundred thirty-eight million, seven hundred twenty-eight thousand, sixteen".