135824520 has 128 divisors (see below), whose sum is σ = 444528000. Its totient is φ = 32999424.

The previous prime is 135824503. The next prime is 135824527. The reversal of 135824520 is 25428531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (135824527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128956 + ... + 130004.

It is an arithmetic number, because the mean of its divisors is an integer number (3472875).

Almost surely, 2^135824520 is an apocalyptic number.

135824520 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 135824520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222264000).

135824520 is an abundant number, since it is smaller than the sum of its proper divisors (308703480).

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

135824520 is a wasteful number, since it uses less digits than its factorization.

135824520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 135824520 is about 11654.3777182654. The cubic root of 135824520 is about 514.0350423000.

It can be divided in two parts, 1358 and 24520, that added together give a triangular number (25878 = T₂₂₇).

The spelling of 135824520 in words is "one hundred thirty-five million, eight hundred twenty-four thousand, five hundred twenty".