135633520 has 80 divisors (see below), whose sum is σ = 348549120. Its totient is φ = 48672000.

The previous prime is 135633517. The next prime is 135633529. The reversal of 135633520 is 25336531.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135633529) 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 15 ways as a sum of consecutive naturals, for example, 68545 + ... + 70495.

It is an arithmetic number, because the mean of its divisors is an integer number (4356864).

Almost surely, 2^135633520 is an apocalyptic number.

135633520 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 135633520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174274560).

135633520 is an abundant number, since it is smaller than the sum of its proper divisors (212915600).

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

135633520 is a wasteful number, since it uses less digits than its factorization.

135633520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 28.

The square root of 135633520 is about 11646.1804897571. The cubic root of 135633520 is about 513.7939794185.

The spelling of 135633520 in words is "one hundred thirty-five million, six hundred thirty-three thousand, five hundred twenty".