148352106033 has 48 divisors (see below), whose sum is σ = 217734111504. Its totient is φ = 97324300800.

The previous prime is 148352105971. The next prime is 148352106043. The reversal of 148352106033 is 330601253841.

148352106033 is a `hidden beast` number, since 1 + 4 + 8 + 35 + 2 + 10 + 603 + 3 = 666.

148352106033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3593163249 + 144758942784 = 59943^2 + 380472^2 .

It is not a de Polignac number, because 148352106033 - 2¹⁶ = 148352040497 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (148352106043) 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 47 ways as a sum of consecutive naturals, for example, 173917635 + ... + 173918487.

It is an arithmetic number, because the mean of its divisors is an integer number (4536127323).

Almost surely, 2^148352106033 is an apocalyptic number.

It is an amenable number.

148352106033 is a deficient number, since it is larger than the sum of its proper divisors (69382005471).

148352106033 is a wasteful number, since it uses less digits than its factorization.

148352106033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 148352106033 its reverse (330601253841), we get a palindrome (478953359874).

The spelling of 148352106033 in words is "one hundred forty-eight billion, three hundred fifty-two million, one hundred six thousand, thirty-three".