135683520 has 224 divisors, whose sum is σ = 501920256. Its totient is φ = 30412800.

The previous prime is 135683519. The next prime is 135683521. The reversal of 135683520 is 25386531.

It is an interprime number because it is at equal distance from previous prime (135683519) and next prime (135683521).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135683521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409755 + ... + 410085.

Almost surely, 2^135683520 is an apocalyptic number.

135683520 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 135683520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250960128).

135683520 is an abundant number, since it is smaller than the sum of its proper divisors (366236736).

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

135683520 is a wasteful number, since it uses less digits than its factorization.

135683520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 135683520 is about 11648.3269184892. The cubic root of 135683520 is about 513.8571067410.

The spelling of 135683520 in words is "one hundred thirty-five million, six hundred eighty-three thousand, five hundred twenty".