135717920 has 96 divisors (see below), whose sum is σ = 350542080. Its totient is φ = 49351680.

The previous prime is 135717899. The next prime is 135717937. The reversal of 135717920 is 29717531.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147221 + ... + 148139.

It is an arithmetic number, because the mean of its divisors is an integer number (3651480).

Almost surely, 2^135717920 is an apocalyptic number.

135717920 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 135717920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175271040).

135717920 is an abundant number, since it is smaller than the sum of its proper divisors (214824160).

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

135717920 is a wasteful number, since it uses less digits than its factorization.

135717920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 35.

The square root of 135717920 is about 11649.8034318181. The cubic root of 135717920 is about 513.9005293340.

The spelling of 135717920 in words is "one hundred thirty-five million, seven hundred seventeen thousand, nine hundred twenty".