135282840 has 192 divisors, whose sum is σ = 510209280. Its totient is φ = 28110720.

The previous prime is 135282827. The next prime is 135282881. The reversal of 135282840 is 48282531.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12298435 + ... + 12298445.

It is an arithmetic number, because the mean of its divisors is an integer number (2657340).

Almost surely, 2^135282840 is an apocalyptic number.

135282840 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 135282840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255104640).

135282840 is an abundant number, since it is smaller than the sum of its proper divisors (374926440).

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

135282840 is an frugal number, since it uses more digits than its factorization.

135282840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 135282840 is about 11631.1151657956. The cubic root of 135282840 is about 513.3507930569.

The spelling of 135282840 in words is "one hundred thirty-five million, two hundred eighty-two thousand, eight hundred forty".