135087360 has 144 divisors (see below), whose sum is σ = 436402176. Its totient is φ = 35610624.

The previous prime is 135087347. The next prime is 135087361. The reversal of 135087360 is 63780531.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135087361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487542 + ... + 487818.

Almost surely, 2^135087360 is an apocalyptic number.

135087360 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 135087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218201088).

135087360 is an abundant number, since it is smaller than the sum of its proper divisors (301314816).

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

135087360 is a wasteful number, since it uses less digits than its factorization.

135087360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 135087360 is about 11622.7088064702. The cubic root of 135087360 is about 513.1034145865.

The spelling of 135087360 in words is "one hundred thirty-five million, eighty-seven thousand, three hundred sixty".