135283680 has 144 divisors (see below), whose sum is σ = 527645664. Its totient is φ = 30919680.

The previous prime is 135283679. The next prime is 135283699. The reversal of 135283680 is 86382531.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3370 + ... + 16790.

It is an arithmetic number, because the mean of its divisors is an integer number (3664206).

Almost surely, 2^135283680 is an apocalyptic number.

135283680 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 135283680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263822832).

135283680 is an abundant number, since it is smaller than the sum of its proper divisors (392361984).

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

135283680 is a wasteful number, since it uses less digits than its factorization.

135283680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13449 (or 13438 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 135283680 is about 11631.1512757766. The cubic root of 135283680 is about 513.3518555563.

The spelling of 135283680 in words is "one hundred thirty-five million, two hundred eighty-three thousand, six hundred eighty".