138838460 has 48 divisors (see below), whose sum is σ = 303163392. Its totient is φ = 53352000.

The previous prime is 138838459. The next prime is 138838463. The reversal of 138838460 is 64838831.

It is a happy number.

It is a super-2 number, since 2×138838460² = 38552235950343200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138838463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92879 + ... + 94361.

It is an arithmetic number, because the mean of its divisors is an integer number (6315904).

Almost surely, 2^138838460 is an apocalyptic number.

138838460 is a gapful number since it is divisible by the number (10) 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 138838460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151581696).

138838460 is an abundant number, since it is smaller than the sum of its proper divisors (164324932).

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

138838460 is a wasteful number, since it uses less digits than its factorization.

138838460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 138838460 is about 11782.9733089743. The cubic root of 138838460 is about 517.8093990252.

The spelling of 138838460 in words is "one hundred thirty-eight million, eight hundred thirty-eight thousand, four hundred sixty".