135594000 has 320 divisors, whose sum is σ = 507586560. Its totient is φ = 34992000.

The previous prime is 135593999. The next prime is 135594047. The reversal of 135594000 is 495531.

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 pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4373985 + ... + 4374015.

It is an arithmetic number, because the mean of its divisors is an integer number (1586208).

Almost surely, 2^135594000 is an apocalyptic number.

135594000 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 135594000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253793280).

135594000 is an abundant number, since it is smaller than the sum of its proper divisors (371992560).

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

135594000 is an frugal number, since it uses more digits than its factorization.

135594000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 135594000 is about 11644.4836725378. The cubic root of 135594000 is about 513.7440726046.

The spelling of 135594000 in words is "one hundred thirty-five million, five hundred ninety-four thousand".