135863120 has 20 divisors (see below), whose sum is σ = 315881940. Its totient is φ = 54345216.

The previous prime is 135863087. The next prime is 135863141. The reversal of 135863120 is 21368531.

It can be written as a sum of positive squares in 2 ways, for example, as 49224256 + 86638864 = 7016^2 + 9308^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×135863120³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 849065 + ... + 849224.

It is an arithmetic number, because the mean of its divisors is an integer number (15794097).

Almost surely, 2^135863120 is an apocalyptic number.

135863120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135863120 is an abundant number, since it is smaller than the sum of its proper divisors (180018820).

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

135863120 is a wasteful number, since it uses less digits than its factorization.

135863120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698302 (or 1698296 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 135863120 is about 11656.0336306996. The cubic root of 135863120 is about 514.0837322648.

The spelling of 135863120 in words is "one hundred thirty-five million, eight hundred sixty-three thousand, one hundred twenty".