135010824 has 32 divisors (see below), whose sum is σ = 363491520. Its totient is φ = 41541696.

The previous prime is 135010823. The next prime is 135010847. The reversal of 135010824 is 428010531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 135010794 and 135010803.

It is not an unprimeable number, because it can be changed into a prime (135010823) 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 7 ways as a sum of consecutive naturals, for example, 216052 + ... + 216675.

It is an arithmetic number, because the mean of its divisors is an integer number (11359110).

Almost surely, 2^135010824 is an apocalyptic number.

It is an amenable number.

135010824 is an abundant number, since it is smaller than the sum of its proper divisors (228480696).

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

135010824 is a wasteful number, since it uses less digits than its factorization.

135010824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432749 (or 432745 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 135010824 is about 11619.4158200832. The cubic root of 135010824 is about 513.0064938438.

The spelling of 135010824 in words is "one hundred thirty-five million, ten thousand, eight hundred twenty-four".