138128760 has 384 divisors, whose sum is σ = 582220800. Its totient is φ = 28512000.

The previous prime is 138128737. The next prime is 138128779. The reversal of 138128760 is 67821831.

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 95 ways as a sum of consecutive naturals, for example, 914685 + ... + 914835.

It is an arithmetic number, because the mean of its divisors is an integer number (1516200).

Almost surely, 2^138128760 is an apocalyptic number.

138128760 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 138128760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291110400).

138128760 is an abundant number, since it is smaller than the sum of its proper divisors (444092040).

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

138128760 is a wasteful number, since it uses less digits than its factorization.

138128760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 179 counting only the distinct ones).

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

The square root of 138128760 is about 11752.8192362514. The cubic root of 138128760 is about 516.9255966567.

The spelling of 138128760 in words is "one hundred thirty-eight million, one hundred twenty-eight thousand, seven hundred sixty".