135368000 has 56 divisors (see below), whose sum is σ = 335258664. Its totient is φ = 54144000.

The previous prime is 135367997. The next prime is 135368017. The reversal of 135368000 is 863531.

It can be written as a sum of positive squares in 4 ways, for example, as 1364224 + 134003776 = 1168^2 + 11576^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 461 + ... + 16460.

Almost surely, 2^135368000 is an apocalyptic number.

135368000 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 135368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167629332).

135368000 is an abundant number, since it is smaller than the sum of its proper divisors (199890664).

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

135368000 is an equidigital number, since it uses as much as digits as its factorization.

135368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16948 (or 16928 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 135368000 is about 11634.7754598015. The cubic root of 135368000 is about 513.4584878775.

The spelling of 135368000 in words is "one hundred thirty-five million, three hundred sixty-eight thousand".