146565160245 has 192 divisors, whose sum is σ = 306408960000. Its totient is φ = 63402393600.

The previous prime is 146565160223. The next prime is 146565160249. The reversal of 146565160245 is 542061565641.

146565160245 is a `hidden beast` number, since 1 + 4 + 6 + 565 + 1 + 60 + 24 + 5 = 666.

It is not a de Polignac number, because 146565160245 - 2¹⁷ = 146565029173 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 146565160245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146565160249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 117345381 + ... + 117346629.

It is an arithmetic number, because the mean of its divisors is an integer number (1595880000).

Almost surely, 2^146565160245 is an apocalyptic number.

146565160245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

146565160245 is an abundant number, since it is smaller than the sum of its proper divisors (159843799755).

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

146565160245 is a wasteful number, since it uses less digits than its factorization.

146565160245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 146565160245 in words is "one hundred forty-six billion, five hundred sixty-five million, one hundred sixty thousand, two hundred forty-five".