138660480 has 384 divisors, whose sum is σ = 579196800. Its totient is φ = 29859840.

The previous prime is 138660469. The next prime is 138660493. The reversal of 138660480 is 84066831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 765990 + ... + 766170.

It is an arithmetic number, because the mean of its divisors is an integer number (1508325).

Almost surely, 2^138660480 is an apocalyptic number.

138660480 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 138660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289598400).

138660480 is an abundant number, since it is smaller than the sum of its proper divisors (440536320).

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

138660480 is a wasteful number, since it uses less digits than its factorization.

138660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 138660480 is about 11775.4184639018. The cubic root of 138660480 is about 517.5880407516.

The spelling of 138660480 in words is "one hundred thirty-eight million, six hundred sixty thousand, four hundred eighty".