138675852 has 144 divisors (see below), whose sum is σ = 418279680. Its totient is φ = 37915776.

The previous prime is 138675847. The next prime is 138675857. The reversal of 138675852 is 258576831.

138675852 is a `hidden beast` number, since 1 + 3 + 8 + 67 + 585 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (138675847) and next prime (138675857).

Its product of digits (403200) is a multiple of the sum of its prime factors (300).

It is a junction number, because it is equal to n+sod(n) for n = 138675798 and 138675807.

It is not an unprimeable number, because it can be changed into a prime (138675857) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 997599 + ... + 997737.

It is an arithmetic number, because the mean of its divisors is an integer number (2904720).

Almost surely, 2^138675852 is an apocalyptic number.

138675852 is a gapful number since it is divisible by the number (12) 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 138675852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209139840).

138675852 is an abundant number, since it is smaller than the sum of its proper divisors (279603828).

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

138675852 is a wasteful number, since it uses less digits than its factorization.

138675852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 295 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 138675852 is about 11776.0711614698. The cubic root of 138675852 is about 517.6071667717.

The spelling of 138675852 in words is "one hundred thirty-eight million, six hundred seventy-five thousand, eight hundred fifty-two".