138314752 has 44 divisors (see below), whose sum is σ = 278039916. Its totient is φ = 68771840.

The previous prime is 138314747. The next prime is 138314773. The reversal of 138314752 is 257413831.

It can be written as a sum of positive squares in 2 ways, for example, as 94012416 + 44302336 = 9696^2 + 6656^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 299802 + ... + 300262.

It is an arithmetic number, because the mean of its divisors is an integer number (6319089).

Almost surely, 2^138314752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138314752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139019958).

138314752 is an abundant number, since it is smaller than the sum of its proper divisors (139725164).

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

138314752 is an equidigital number, since it uses as much as digits as its factorization.

138314752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 756 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 138314752 is about 11760.7292290912. The cubic root of 138314752 is about 517.1575080626.

The spelling of 138314752 in words is "one hundred thirty-eight million, three hundred fourteen thousand, seven hundred fifty-two".