135583280 has 80 divisors (see below), whose sum is σ = 362387520. Its totient is φ = 46212096.

The previous prime is 135583271. The next prime is 135583291. The reversal of 135583280 is 82385531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 135583280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109706 + ... + 110934.

It is an arithmetic number, because the mean of its divisors is an integer number (4529844).

Almost surely, 2^135583280 is an apocalyptic number.

135583280 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 135583280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181193760).

135583280 is an abundant number, since it is smaller than the sum of its proper divisors (226804240).

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

135583280 is a wasteful number, since it uses less digits than its factorization.

135583280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 135583280 is about 11644.0233596468. The cubic root of 135583280 is about 513.7305334569.

The spelling of 135583280 in words is "one hundred thirty-five million, five hundred eighty-three thousand, two hundred eighty".