138017960 has 64 divisors (see below), whose sum is σ = 328838400. Its totient is φ = 52045056.

The previous prime is 138017953. The next prime is 138017969. The reversal of 138017960 is 69710831.

138017960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 138017960.

It is not an unprimeable number, because it can be changed into a prime (138017969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48497 + ... + 51263.

It is an arithmetic number, because the mean of its divisors is an integer number (5138100).

Almost surely, 2^138017960 is an apocalyptic number.

138017960 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 138017960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164419200).

138017960 is an abundant number, since it is smaller than the sum of its proper divisors (190820440).

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

138017960 is a wasteful number, since it uses less digits than its factorization.

138017960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850 (or 2846 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 138017960 is about 11748.1045279654. The cubic root of 138017960 is about 516.7873423751.

The spelling of 138017960 in words is "one hundred thirty-eight million, seventeen thousand, nine hundred sixty".