135456000 has 288 divisors, whose sum is σ = 482122368. Its totient is φ = 33587200.

The previous prime is 135455987. The next prime is 135456011. The reversal of 135456000 is 654531.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1631959 + ... + 1632041.

It is an arithmetic number, because the mean of its divisors is an integer number (1674036).

Almost surely, 2^135456000 is an apocalyptic number.

135456000 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 135456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241061184).

135456000 is an abundant number, since it is smaller than the sum of its proper divisors (346666368).

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

135456000 is an equidigital number, since it uses as much as digits as its factorization.

135456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 135456000 is about 11638.5566115391. The cubic root of 135456000 is about 513.5697267703.

The spelling of 135456000 in words is "one hundred thirty-five million, four hundred fifty-six thousand".