145350413505 has 96 divisors (see below), whose sum is σ = 278421556608. Its totient is φ = 69560064000.

The previous prime is 145350413449. The next prime is 145350413513. The reversal of 145350413505 is 505314053541.

145350413505 is a `hidden beast` number, since 14 + 5 + 3 + 504 + 135 + 0 + 5 = 666.

145350413505 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 145350413505 - 2⁶ = 145350413441 is a prime.

It is a super-2 number, since 2×145350413505² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145350413505.

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, 16844002 + ... + 16852628.

It is an arithmetic number, because the mean of its divisors is an integer number (2900224548).

Almost surely, 2^145350413505 is an apocalyptic number.

145350413505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145350413505 is a deficient number, since it is larger than the sum of its proper divisors (133071143103).

145350413505 is a wasteful number, since it uses less digits than its factorization.

145350413505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9087 (or 9084 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

It can be divided in two parts, 145350 and 413505, that added together give a palindrome (558855).

The spelling of 145350413505 in words is "one hundred forty-five billion, three hundred fifty million, four hundred thirteen thousand, five hundred five".