138208512 has 144 divisors (see below), whose sum is σ = 402913280. Its totient is φ = 41803776.

The previous prime is 138208507. The next prime is 138208531. The reversal of 138208512 is 215802831.

It is a self number, because there is not a number n which added to its sum of digits gives 138208512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1088193 + ... + 1088319.

Almost surely, 2^138208512 is an apocalyptic number.

138208512 is a gapful number since it is divisible by the number (12) 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 138208512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201456640).

138208512 is an abundant number, since it is smaller than the sum of its proper divisors (264704768).

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

138208512 is a wasteful number, since it uses less digits than its factorization.

138208512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 138208512 is about 11756.2116347061. The cubic root of 138208512 is about 517.0250640388.

The spelling of 138208512 in words is "one hundred thirty-eight million, two hundred eight thousand, five hundred twelve".