138000456 has 96 divisors (see below), whose sum is σ = 419925600. Its totient is φ = 41644800.

The previous prime is 138000433. The next prime is 138000461. The reversal of 138000456 is 654000831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 572496 + ... + 572736.

It is an arithmetic number, because the mean of its divisors is an integer number (4374225).

Almost surely, 2^138000456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138000456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209962800).

138000456 is an abundant number, since it is smaller than the sum of its proper divisors (281925144).

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

138000456 is a wasteful number, since it uses less digits than its factorization.

138000456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 138000456 is about 11747.3595331036. The cubic root of 138000456 is about 516.7654944261.

The spelling of 138000456 in words is "one hundred thirty-eight million, four hundred fifty-six", and thus it is an aban number.