135407848608 has 96 divisors (see below), whose sum is σ = 405613696320. Its totient is φ = 43916048640.

The previous prime is 135407848607. The next prime is 135407848619. The reversal of 135407848608 is 806848704531.

135407848608 is a `hidden beast` number, since 13 + 540 + 7 + 8 + 4 + 86 + 0 + 8 = 666.

135407848608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (135407848607) 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, 2085898 + ... + 2149833.

It is an arithmetic number, because the mean of its divisors is an integer number (4225142670).

Almost surely, 2^135407848608 is an apocalyptic number.

135407848608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135407848608 is an abundant number, since it is smaller than the sum of its proper divisors (270205847712).

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

135407848608 is a wasteful number, since it uses less digits than its factorization.

135407848608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4235787 (or 4235773 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 135407848608 in words is "one hundred thirty-five billion, four hundred seven million, eight hundred forty-eight thousand, six hundred eight".