135364084002 has 96 divisors (see below), whose sum is σ = 336466296192. Its totient is φ = 38528151552.

The previous prime is 135364084001. The next prime is 135364084003. The reversal of 135364084002 is 200480463531.

135364084002 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 640 + 8 + 4 + 0 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (135364084001) and next prime (135364084003).

It is not an unprimeable number, because it can be changed into a prime (135364084001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57674193 + ... + 57676539.

It is an arithmetic number, because the mean of its divisors is an integer number (3504857252).

Almost surely, 2^135364084002 is an apocalyptic number.

135364084002 is an abundant number, since it is smaller than the sum of its proper divisors (201102212190).

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

135364084002 is a wasteful number, since it uses less digits than its factorization.

135364084002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912 (or 3909 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 135364084002 in words is "one hundred thirty-five billion, three hundred sixty-four million, eighty-four thousand, two".