138105680 has 80 divisors (see below), whose sum is σ = 346019520. Its totient is φ = 51093504.

The previous prime is 138105679. The next prime is 138105689. The reversal of 138105680 is 86501831.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138105689) 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, 64304 + ... + 66416.

It is an arithmetic number, because the mean of its divisors is an integer number (4325244).

Almost surely, 2^138105680 is an apocalyptic number.

138105680 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 138105680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173009760).

138105680 is an abundant number, since it is smaller than the sum of its proper divisors (207913840).

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

138105680 is a wasteful number, since it uses less digits than its factorization.

138105680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 138105680 is about 11751.8373031624. The cubic root of 138105680 is about 516.8968039386.

The spelling of 138105680 in words is "one hundred thirty-eight million, one hundred five thousand, six hundred eighty".