135803808 has 288 divisors, whose sum is σ = 475517952. Its totient is φ = 35942400.

The previous prime is 135803807. The next prime is 135803809. The reversal of 135803808 is 808308531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135803807) and next prime (135803809).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (135803807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2562310 + ... + 2562362.

It is an arithmetic number, because the mean of its divisors is an integer number (1651104).

Almost surely, 2^135803808 is an apocalyptic number.

135803808 is a gapful number since it is divisible by the number (18) 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 135803808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237758976).

135803808 is an abundant number, since it is smaller than the sum of its proper divisors (339714144).

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

135803808 is a wasteful number, since it uses less digits than its factorization.

135803808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 135803808 is about 11653.4890912550. The cubic root of 135803808 is about 514.0089124205.

The spelling of 135803808 in words is "one hundred thirty-five million, eight hundred three thousand, eight hundred eight".