138648510 has 448 divisors, whose sum is σ = 528837120. Its totient is φ = 25194240.

The previous prime is 138648493. The next prime is 138648533. The reversal of 138648510 is 15846831.

138648510 is a `hidden beast` number, since 1 + 3 + 8 + 648 + 5 + 1 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 7297281 + ... + 7297299.

It is an arithmetic number, because the mean of its divisors is an integer number (1180440).

Almost surely, 2^138648510 is an apocalyptic number.

138648510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138648510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264418560).

138648510 is an abundant number, since it is smaller than the sum of its proper divisors (390188610).

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

138648510 is a wasteful number, since it uses less digits than its factorization.

138648510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 138648510 is about 11774.9101907403. The cubic root of 138648510 is about 517.5731465603.

The spelling of 138648510 in words is "one hundred thirty-eight million, six hundred forty-eight thousand, five hundred ten".