135452663808 has 448 divisors, whose sum is σ = 465036042240. Its totient is φ = 34032844800.

The previous prime is 135452663803. The next prime is 135452663813. The reversal of 135452663808 is 808366254531.

It is an interprime number because it is at equal distance from previous prime (135452663803) and next prime (135452663813).

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (135452663803) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58661758 + ... + 58664066.

It is an arithmetic number, because the mean of its divisors is an integer number (1038026880).

Almost surely, 2^135452663808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135452663808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232518021120).

135452663808 is an abundant number, since it is smaller than the sum of its proper divisors (329583378432).

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

135452663808 is a wasteful number, since it uses less digits than its factorization.

135452663808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 135452663808 in words is "one hundred thirty-five billion, four hundred fifty-two million, six hundred sixty-three thousand, eight hundred eight".