145304729593 has 16 divisors (see below), whose sum is σ = 160908408000. Its totient is φ = 130657568832.

The previous prime is 145304729587. The next prime is 145304729599. The reversal of 145304729593 is 395927403541.

It is an interprime number because it is at equal distance from previous prime (145304729587) and next prime (145304729599).

It is not a de Polignac number, because 145304729593 - 2¹⁷ = 145304598521 is a prime.

It is a super-3 number, since 3×145304729593³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 145304729593.

It is not an unprimeable number, because it can be changed into a prime (145304729599) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2202330 + ... + 2267347.

It is an arithmetic number, because the mean of its divisors is an integer number (10056775500).

Almost surely, 2^145304729593 is an apocalyptic number.

It is an amenable number.

145304729593 is a deficient number, since it is larger than the sum of its proper divisors (15603678407).

145304729593 is a wasteful number, since it uses less digits than its factorization.

145304729593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4469784.

The product of its (nonzero) digits is 4082400, while the sum is 52.

The spelling of 145304729593 in words is "one hundred forty-five billion, three hundred four million, seven hundred twenty-nine thousand, five hundred ninety-three".