135807360 has 128 divisors (see below), whose sum is σ = 466270560. Its totient is φ = 33423360.

The previous prime is 135807337. The next prime is 135807361. The reversal of 135807360 is 63708531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135807361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22240 + ... + 27680.

Almost surely, 2^135807360 is an apocalyptic number.

135807360 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 135807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233135280).

135807360 is an abundant number, since it is smaller than the sum of its proper divisors (330463200).

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

135807360 is a wasteful number, since it uses less digits than its factorization.

135807360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5476 (or 5464 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 135807360 is about 11653.6414909675. The cubic root of 135807360 is about 514.0133937473.

It can be divided in two parts, 135 and 807360, that multiplied together give a square (108993600 = 10440²).

The spelling of 135807360 in words is "one hundred thirty-five million, eight hundred seven thousand, three hundred sixty".