138459456 has 168 divisors, whose sum is σ = 427146720. Its totient is φ = 44416512.

The previous prime is 138459437. The next prime is 138459469. The reversal of 138459456 is 654954831.

138459456 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 594 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450855 + ... + 451161.

It is an arithmetic number, because the mean of its divisors is an integer number (2542540).

Almost surely, 2^138459456 is an apocalyptic number.

138459456 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 138459456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213573360).

138459456 is an abundant number, since it is smaller than the sum of its proper divisors (288687264).

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

138459456 is an equidigital number, since it uses as much as digits as its factorization.

138459456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 341 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 138459456 is about 11766.8796203582. The cubic root of 138459456 is about 517.3377941539.

The spelling of 138459456 in words is "one hundred thirty-eight million, four hundred fifty-nine thousand, four hundred fifty-six".