138306480 has 160 divisors (see below), whose sum is σ = 467511744. Its totient is φ = 33619968.

The previous prime is 138306479. The next prime is 138306517. The reversal of 138306480 is 84603831.

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 31 ways as a sum of consecutive naturals, for example, 302412 + ... + 302868.

Almost surely, 2^138306480 is an apocalyptic number.

138306480 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 138306480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233755872).

138306480 is an abundant number, since it is smaller than the sum of its proper divisors (329205264).

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

138306480 is a wasteful number, since it uses less digits than its factorization.

138306480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 138306480 is about 11760.3775449600. The cubic root of 138306480 is about 517.1471982147.

The spelling of 138306480 in words is "one hundred thirty-eight million, three hundred six thousand, four hundred eighty".