135786240 has 144 divisors (see below), whose sum is σ = 481975200. Its totient is φ = 36200448.

The previous prime is 135786229. The next prime is 135786253. The reversal of 135786240 is 42687531.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135786195 and 135786204.

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, 32596 + ... + 36524.

It is an arithmetic number, because the mean of its divisors is an integer number (3347050).

Almost surely, 2^135786240 is an apocalyptic number.

135786240 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 135786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240987600).

135786240 is an abundant number, since it is smaller than the sum of its proper divisors (346188960).

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

135786240 is an equidigital number, since it uses as much as digits as its factorization.

135786240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3959 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 135786240 is about 11652.7353012072. The cubic root of 135786240 is about 513.9867468712.

The spelling of 135786240 in words is "one hundred thirty-five million, seven hundred eighty-six thousand, two hundred forty".