145747505365605 has 96 divisors (see below), whose sum is σ = 314253444960000. Its totient is φ = 61392614307840.

The previous prime is 145747505365541. The next prime is 145747505365661. The reversal of 145747505365605 is 506563505747541.

145747505365605 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 4 + 7 + 505 + 3 + 65 + 60 + 5 = 666.

It is not a de Polignac number, because 145747505365605 - 2⁶ = 145747505365541 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 666043105 + ... + 666261894.

It is an arithmetic number, because the mean of its divisors is an integer number (3273473385000).

Almost surely, 2^{145747505365605} is an apocalyptic number.

145747505365605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145747505365605 is an abundant number, since it is smaller than the sum of its proper divisors (168505939594395).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145747505365605 is a wasteful number, since it uses less digits than its factorization.

145747505365605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332305051 (or 1332305048 counting only the distinct ones).

The product of its (nonzero) digits is 264600000, while the sum is 63.

The spelling of 145747505365605 in words is "one hundred forty-five trillion, seven hundred forty-seven billion, five hundred five million, three hundred sixty-five thousand, six hundred five".