138794760 has 192 divisors, whose sum is σ = 496903680. Its totient is φ = 33384960.

The previous prime is 138794743. The next prime is 138794779. The reversal of 138794760 is 67497831.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 219645 + ... + 220275.

It is an arithmetic number, because the mean of its divisors is an integer number (2588040).

Almost surely, 2^138794760 is an apocalyptic number.

138794760 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 138794760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248451840).

138794760 is an abundant number, since it is smaller than the sum of its proper divisors (358108920).

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

138794760 is a wasteful number, since it uses less digits than its factorization.

138794760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 138794760 is about 11781.1187923728. The cubic root of 138794760 is about 517.7550657487.

The spelling of 138794760 in words is "one hundred thirty-eight million, seven hundred ninety-four thousand, seven hundred sixty".