135485600 has 72 divisors (see below), whose sum is σ = 333103680. Its totient is φ = 53809920.

The previous prime is 135485587. The next prime is 135485627. The reversal of 135485600 is 6584531.

It is a happy number.

135485600 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 (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129881 + ... + 130919.

It is an arithmetic number, because the mean of its divisors is an integer number (4626440).

Almost surely, 2^135485600 is an apocalyptic number.

135485600 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 135485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166551840).

135485600 is an abundant number, since it is smaller than the sum of its proper divisors (197618080).

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

135485600 is a wasteful number, since it uses less digits than its factorization.

135485600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 135485600 is about 11639.8281774260. The cubic root of 135485600 is about 513.6071326604.

The spelling of 135485600 in words is "one hundred thirty-five million, four hundred eighty-five thousand, six hundred".