138116480 has 64 divisors (see below), whose sum is σ = 335216880. Its totient is φ = 54405120.

The previous prime is 138116479. The next prime is 138116497. The reversal of 138116480 is 84611831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41270 + ... + 44490.

Almost surely, 2^138116480 is an apocalyptic number.

138116480 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 138116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167608440).

138116480 is an abundant number, since it is smaller than the sum of its proper divisors (197100400).

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

138116480 is an equidigital number, since it uses as much as digits as its factorization.

138116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307 (or 3295 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 138116480 is about 11752.2967967968. The cubic root of 138116480 is about 516.9102775335.

The spelling of 138116480 in words is "one hundred thirty-eight million, one hundred sixteen thousand, four hundred eighty".