138371328 has 90 divisors (see below), whose sum is σ = 412660094. Its totient is φ = 46116864.

The previous prime is 138371327. The next prime is 138371329. The reversal of 138371328 is 823173831.

It is an interprime number because it is at equal distance from previous prime (138371327) and next prime (138371329).

It can be written as a sum of positive squares in only one way, i.e., 82301184 + 56070144 = 9072^2 + 7488^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 138371292 and 138371301.

It is not an unprimeable number, because it can be changed into a prime (138371323) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17400 + ... + 24072.

Almost surely, 2^138371328 is an apocalyptic number.

138371328 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 138371328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206330047).

138371328 is an abundant number, since it is smaller than the sum of its proper divisors (274288766).

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

138371328 is an frugal number, since it uses more digits than its factorization.

138371328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6701 (or 6678 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 138371328 is about 11763.1342762038. The cubic root of 138371328 is about 517.2280108214.

The spelling of 138371328 in words is "one hundred thirty-eight million, three hundred seventy-one thousand, three hundred twenty-eight".