138696480 has 288 divisors, whose sum is σ = 528353280. Its totient is φ = 32901120.

The previous prime is 138696479. The next prime is 138696487. The reversal of 138696480 is 84696831.

138696480 is a `hidden beast` number, since 1 + 3 + 86 + 96 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138696487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580201 + ... + 580439.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2^138696480 is an apocalyptic number.

138696480 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 138696480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

138696480 is an abundant number, since it is smaller than the sum of its proper divisors (389656800).

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

138696480 is a wasteful number, since it uses less digits than its factorization.

138696480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 138696480 is about 11776.9469727939. The cubic root of 138696480 is about 517.6328301469.

The spelling of 138696480 in words is "one hundred thirty-eight million, six hundred ninety-six thousand, four hundred eighty".