135535840 has 96 divisors (see below), whose sum is σ = 356148576. Its totient is φ = 48322560.

The previous prime is 135535837. The next prime is 135535843. The reversal of 135535840 is 48535531.

It is an interprime number because it is at equal distance from previous prime (135535837) and next prime (135535843).

It is a junction number, because it is equal to n+sod(n) for n = 135535796 and 135535805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135535843) 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, 92554 + ... + 94006.

It is an arithmetic number, because the mean of its divisors is an integer number (3709881).

Almost surely, 2^135535840 is an apocalyptic number.

135535840 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 135535840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178074288).

135535840 is an abundant number, since it is smaller than the sum of its proper divisors (220612736).

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

135535840 is a wasteful number, since it uses less digits than its factorization.

135535840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 135535840 is about 11641.9860848568. The cubic root of 135535840 is about 513.6706091075.

The spelling of 135535840 in words is "one hundred thirty-five million, five hundred thirty-five thousand, eight hundred forty".