138023680 has 72 divisors (see below), whose sum is σ = 350112672. Its totient is φ = 51953664.

The previous prime is 138023659. The next prime is 138023701. The reversal of 138023680 is 86320831.

138023680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138023659) and next prime (138023701).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18589 + ... + 24931.

It is an arithmetic number, because the mean of its divisors is an integer number (4862676).

Almost surely, 2^138023680 is an apocalyptic number.

138023680 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 138023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175056336).

138023680 is an abundant number, since it is smaller than the sum of its proper divisors (212088992).

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

138023680 is an equidigital number, since it uses as much as digits as its factorization.

138023680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6381 (or 6367 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 138023680 is about 11748.3479689699. The cubic root of 138023680 is about 516.7944815010.

The spelling of 138023680 in words is "one hundred thirty-eight million, twenty-three thousand, six hundred eighty".