146809345375 has 96 divisors (see below), whose sum is σ = 232453952640. Its totient is φ = 90604800000.

The previous prime is 146809345367. The next prime is 146809345427. The reversal of 146809345375 is 573543908641.

It is a happy number.

146809345375 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 146809345375 - 2³ = 146809345367 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent 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 95 ways as a sum of consecutive naturals, for example, 10686511 + ... + 10700239.

It is an arithmetic number, because the mean of its divisors is an integer number (2421395340).

Almost surely, 2^146809345375 is an apocalyptic number.

146809345375 is a deficient number, since it is larger than the sum of its proper divisors (85644607265).

146809345375 is a wasteful number, since it uses less digits than its factorization.

146809345375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13874 (or 13853 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 55.

The spelling of 146809345375 in words is "one hundred forty-six billion, eight hundred nine million, three hundred forty-five thousand, three hundred seventy-five".