145720964193 has 32 divisors (see below), whose sum is σ = 224909967360. Its totient is φ = 82197460800.

The previous prime is 145720964171. The next prime is 145720964239. The reversal of 145720964193 is 391469027541.

It is a happy number.

145720964193 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 145720964193 - 2²⁴ = 145704186977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145720964693) 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 31 ways as a sum of consecutive naturals, for example, 14141143 + ... + 14151443.

It is an arithmetic number, because the mean of its divisors is an integer number (7028436480).

Almost surely, 2^145720964193 is an apocalyptic number.

It is an amenable number.

145720964193 is a deficient number, since it is larger than the sum of its proper divisors (79189003167).

145720964193 is a wasteful number, since it uses less digits than its factorization.

145720964193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18917.

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 145720964193 in words is "one hundred forty-five billion, seven hundred twenty million, nine hundred sixty-four thousand, one hundred ninety-three".