135079920 has 160 divisors (see below), whose sum is σ = 485683200. Its totient is φ = 34442496.

The previous prime is 135079913. The next prime is 135079937. The reversal of 135079920 is 29970531.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48321 + ... + 51039.

It is an arithmetic number, because the mean of its divisors is an integer number (3035520).

Almost surely, 2^135079920 is an apocalyptic number.

135079920 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 135079920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242841600).

135079920 is an abundant number, since it is smaller than the sum of its proper divisors (350603280).

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

135079920 is a wasteful number, since it uses less digits than its factorization.

135079920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 135079920 is about 11622.3887389813. The cubic root of 135079920 is about 513.0939946095.

The spelling of 135079920 in words is "one hundred thirty-five million, seventy-nine thousand, nine hundred twenty".