149133417305 has 16 divisors (see below), whose sum is σ = 180368167824. Its totient is φ = 118371671040.

The previous prime is 149133417289. The next prime is 149133417311. The reversal of 149133417305 is 503714331941.

149133417305 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 9233480281 + 139899937024 = 96091^2 + 374032^2 .

It is not a de Polignac number, because 149133417305 - 2⁴ = 149133417289 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 99587 + ... + 555143.

It is an arithmetic number, because the mean of its divisors is an integer number (11273010489).

Almost surely, 2^149133417305 is an apocalyptic number.

It is an amenable number.

149133417305 is a deficient number, since it is larger than the sum of its proper divisors (31234750519).

149133417305 is a wasteful number, since it uses less digits than its factorization.

149133417305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456076.

The product of its (nonzero) digits is 136080, while the sum is 41.

The spelling of 149133417305 in words is "one hundred forty-nine billion, one hundred thirty-three million, four hundred seventeen thousand, three hundred five".