138343680 has 144 divisors (see below), whose sum is σ = 491050560. Its totient is φ = 36882432.

The previous prime is 138343661. The next prime is 138343691. The reversal of 138343680 is 86343831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 15 ways as a sum of consecutive naturals, for example, 32559 + ... + 36561.

Almost surely, 2^138343680 is an apocalyptic number.

138343680 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 138343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245525280).

138343680 is an abundant number, since it is smaller than the sum of its proper divisors (352706880).

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

138343680 is an equidigital number, since it uses as much as digits as its factorization.

138343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4033 (or 4013 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 138343680 is about 11761.9590205033. The cubic root of 138343680 is about 517.1935593860.

The spelling of 138343680 in words is "one hundred thirty-eight million, three hundred forty-three thousand, six hundred eighty".