135905280 has 240 divisors, whose sum is σ = 503301120. Its totient is φ = 30670848.

The previous prime is 135905267. The next prime is 135905351. The reversal of 135905280 is 82509531.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (33) 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 15 ways as a sum of consecutive naturals, for example, 1720281 + ... + 1720359.

It is an arithmetic number, because the mean of its divisors is an integer number (2097088).

Almost surely, 2^135905280 is an apocalyptic number.

135905280 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 135905280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251650560).

135905280 is an abundant number, since it is smaller than the sum of its proper divisors (367395840).

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

135905280 is an frugal number, since it uses more digits than its factorization.

135905280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 135905280 is about 11657.8419958413. The cubic root of 135905280 is about 514.1369022707.

The spelling of 135905280 in words is "one hundred thirty-five million, nine hundred five thousand, two hundred eighty".