145263656205 has 64 divisors (see below), whose sum is σ = 265160528640. Its totient is φ = 75408537600.

The previous prime is 145263656189. The next prime is 145263656207. The reversal of 145263656205 is 502656362541.

145263656205 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 636 + 5 + 6 + 2 + 0 + 5 = 666.

145263656205 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 145263656205 - 2⁴ = 145263656189 is a prime.

It is a super-2 number, since 2×145263656205² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145263656207) 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 63 ways as a sum of consecutive naturals, for example, 2366350 + ... + 2426960.

It is an arithmetic number, because the mean of its divisors is an integer number (4143133260).

Almost surely, 2^145263656205 is an apocalyptic number.

145263656205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145263656205 is a deficient number, since it is larger than the sum of its proper divisors (119896872435).

145263656205 is a wasteful number, since it uses less digits than its factorization.

145263656205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61099 (or 61093 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 145263656205 in words is "one hundred forty-five billion, two hundred sixty-three million, six hundred fifty-six thousand, two hundred five".