138456000 has 224 divisors, whose sum is σ = 508772160. Its totient is φ = 36864000.

The previous prime is 138455987. The next prime is 138456011. The reversal of 138456000 is 654831.

138456000 is a `hidden beast` number, since 13 + 8 + 45 + 600 + 0 = 666.

138456000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215680 + ... + 216320.

Almost surely, 2^138456000 is an apocalyptic number.

138456000 is a gapful number since it is divisible by the number (10) 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 138456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254386080).

138456000 is an abundant number, since it is smaller than the sum of its proper divisors (370316160).

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

138456000 is an equidigital number, since it uses as much as digits as its factorization.

138456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 651 counting only the distinct ones).

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

The square root of 138456000 is about 11766.7327665754. The cubic root of 138456000 is about 517.3334898029. Note that the first 3 decimals are identical.

Subtracting from 138456000 its product of nonzero digits (2880), we obtain a triangular number (138453120 = T₁₆₆₄₀).

The spelling of 138456000 in words is "one hundred thirty-eight million, four hundred fifty-six thousand".