138448560 has 80 divisors (see below), whose sum is σ = 430401024. Its totient is φ = 36815616.

The previous prime is 138448553. The next prime is 138448567. The reversal of 138448560 is 65844831.

It is an interprime number because it is at equal distance from previous prime (138448553) and next prime (138448567).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (138448567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124969 + ... + 126071.

Almost surely, 2^138448560 is an apocalyptic number.

138448560 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 138448560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215200512).

138448560 is an abundant number, since it is smaller than the sum of its proper divisors (291952464).

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

138448560 is a wasteful number, since it uses less digits than its factorization.

138448560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 138448560 is about 11766.4166167954. The cubic root of 138448560 is about 517.3242232486.

The spelling of 138448560 in words is "one hundred thirty-eight million, four hundred forty-eight thousand, five hundred sixty".