135360720 has 280 divisors, whose sum is σ = 517190112. Its totient is φ = 32659200.

The previous prime is 135360713. The next prime is 135360751. The reversal of 135360720 is 27063531.

It is a happy number.

135360720 is a `hidden beast` number, since 1 + 3 + 53 + 607 + 2 + 0 = 666.

It is a super-3 number, since 3×135360720³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 641415 + ... + 641625.

Almost surely, 2^135360720 is an apocalyptic number.

135360720 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 135360720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258595056).

135360720 is an abundant number, since it is smaller than the sum of its proper divisors (381829392).

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

135360720 is a wasteful number, since it uses less digits than its factorization.

135360720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 135360720 is about 11634.4626003954. The cubic root of 135360720 is about 513.4492832284.

The spelling of 135360720 in words is "one hundred thirty-five million, three hundred sixty thousand, seven hundred twenty".