135017920 has 84 divisors (see below), whose sum is σ = 330857352. Its totient is φ = 52480000.

The previous prime is 135017917. The next prime is 135017929. The reversal of 135017920 is 29710531.

It is a super-2 number, since 2×135017920² = 36459677442252800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135017929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 537795 + ... + 538045.

It is an arithmetic number, because the mean of its divisors is an integer number (3938778).

Almost surely, 2^135017920 is an apocalyptic number.

135017920 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 135017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165428676).

135017920 is an abundant number, since it is smaller than the sum of its proper divisors (195839432).

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

135017920 is an equidigital number, since it uses as much as digits as its factorization.

135017920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 135017920 is about 11619.7211670504. The cubic root of 135017920 is about 513.0154813461.

The spelling of 135017920 in words is "one hundred thirty-five million, seventeen thousand, nine hundred twenty".