135046164033 has 192 divisors, whose sum is σ = 236098437120. Its totient is φ = 76368096000.

The previous prime is 135046163999. The next prime is 135046164037. The reversal of 135046164033 is 330461640531.

135046164033 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 4 + 6 + 1 + 640 + 3 + 3 = 666.

It is not a de Polignac number, because 135046164033 - 2¹⁶ = 135046098497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135046164037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 367973016 + ... + 367973382.

It is an arithmetic number, because the mean of its divisors is an integer number (1229679360).

Almost surely, 2^135046164033 is an apocalyptic number.

It is an amenable number.

135046164033 is a deficient number, since it is larger than the sum of its proper divisors (101052273087).

135046164033 is a wasteful number, since it uses less digits than its factorization.

135046164033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 135046164033 in words is "one hundred thirty-five billion, forty-six million, one hundred sixty-four thousand, thirty-three".