138146688 has 128 divisors (see below), whose sum is σ = 414201600. Its totient is φ = 45319680.

The previous prime is 138146683. The next prime is 138146693. The reversal of 138146688 is 886641831.

It is a happy number.

138146688 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 (138146683) and next prime (138146693).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138146683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245095 + ... + 245657.

It is an arithmetic number, because the mean of its divisors is an integer number (3235950).

Almost surely, 2^138146688 is an apocalyptic number.

138146688 is a gapful number since it is divisible by the number (18) 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 138146688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207100800).

138146688 is an abundant number, since it is smaller than the sum of its proper divisors (276054912).

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

138146688 is an equidigital number, since it uses as much as digits as its factorization.

138146688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 639 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 138146688 is about 11753.5819221206. The cubic root of 138146688 is about 516.9479599482.

It can be divided in two parts, 13814 and 6688, that added together give a palindrome (20502).

The spelling of 138146688 in words is "one hundred thirty-eight million, one hundred forty-six thousand, six hundred eighty-eight".