138455856 has 120 divisors (see below), whose sum is σ = 483135744. Its totient is φ = 35959680.

The previous prime is 138455819. The next prime is 138455857. The reversal of 138455856 is 658554831.

138455856 is a `hidden beast` number, since 13 + 84 + 558 + 5 + 6 = 666.

138455856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (138455857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4845 + ... + 17331.

Almost surely, 2^138455856 is an apocalyptic number.

138455856 is a gapful number since it is divisible by the number (16) 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 138455856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241567872).

138455856 is an abundant number, since it is smaller than the sum of its proper divisors (344679888).

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

138455856 is a wasteful number, since it uses less digits than its factorization.

138455856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12519 (or 12510 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 138455856 is about 11766.7266476280. The cubic root of 138455856 is about 517.3333104533. Note that the first 4 decimals are identical.

It can be divided in two parts, 13845 and 5856, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 138455856 in words is "one hundred thirty-eight million, four hundred fifty-five thousand, eight hundred fifty-six".