138014480 has 160 divisors (see below), whose sum is σ = 364262400. Its totient is φ = 48384000.

The previous prime is 138014473. The next prime is 138014489. The reversal of 138014480 is 84410831.

138014480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (138014489) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1366430 + ... + 1366530.

It is an arithmetic number, because the mean of its divisors is an integer number (2276640).

Almost surely, 2^138014480 is an apocalyptic number.

138014480 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 138014480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182131200).

138014480 is an abundant number, since it is smaller than the sum of its proper divisors (226247920).

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

138014480 is a wasteful number, since it uses less digits than its factorization.

138014480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 138014480 is about 11747.9564180329. The cubic root of 138014480 is about 516.7829988944.

It can be divided in two parts, 13801 and 4480, that added together give a palindrome (18281).

The spelling of 138014480 in words is "one hundred thirty-eight million, fourteen thousand, four hundred eighty".