138815328 has 48 divisors (see below), whose sum is σ = 365008896. Its totient is φ = 46193280.

The previous prime is 138815323. The next prime is 138815333. The reversal of 138815328 is 823518831.

It is an interprime number because it is at equal distance from previous prime (138815323) and next prime (138815333).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138815323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93633 + ... + 95103.

It is an arithmetic number, because the mean of its divisors is an integer number (7604352).

Almost surely, 2^138815328 is an apocalyptic number.

It is an amenable number.

138815328 is an abundant number, since it is smaller than the sum of its proper divisors (226193568).

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

138815328 is a wasteful number, since it uses less digits than its factorization.

138815328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2467 (or 2459 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 138815328 is about 11781.9916822242. The cubic root of 138815328 is about 517.7806398655.

The spelling of 138815328 in words is "one hundred thirty-eight million, eight hundred fifteen thousand, three hundred twenty-eight".