135079824 has 160 divisors (see below), whose sum is σ = 409795200. Its totient is φ = 37888000.

The previous prime is 135079823. The next prime is 135079829. The reversal of 135079824 is 428970531.

It is not an unprimeable number, because it can be changed into a prime (135079823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 906502 + ... + 906650.

It is an arithmetic number, because the mean of its divisors is an integer number (2561220).

Almost surely, 2^135079824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135079824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204897600).

135079824 is an abundant number, since it is smaller than the sum of its proper divisors (274715376).

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

135079824 is a wasteful number, since it uses less digits than its factorization.

135079824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 135079824 is about 11622.3846090206. The cubic root of 135079824 is about 513.0938730591.

The spelling of 135079824 in words is "one hundred thirty-five million, seventy-nine thousand, eight hundred twenty-four".