Search a number
-
+
145568000161 is a prime number
BaseRepresentation
bin1000011110010010000…
…1110110100010100001
3111220201212212121001101
42013210201312202201
54341110402001121
6150512323234401
713342211404633
oct2074441664241
9456655777041
10145568000161
115680a383071
1224266518a01
131095b2c414c
14708cd06a53
153bbe974491
hex21e48768a1

145568000161 has 2 divisors, whose sum is σ = 145568000162. Its totient is φ = 145568000160.

The previous prime is 145568000153. The next prime is 145568000191. The reversal of 145568000161 is 161000865541.

It is the 155761-st star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102233667600 + 43334332561 = 319740^2 + 208169^2 .

It is a cyclic number.

It is not a de Polignac number, because 145568000161 - 23 = 145568000153 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 145568000161.

It is not a weakly prime, because it can be changed into another prime (145568000191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72784000080 + 72784000081.

It is an arithmetic number, because the mean of its divisors is an integer number (72784000081).

Almost surely, 2145568000161 is an apocalyptic number.

It is an amenable number.

145568000161 is a deficient number, since it is larger than the sum of its proper divisors (1).

145568000161 is an equidigital number, since it uses as much as digits as its factorization.

145568000161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28800, while the sum is 37.

The spelling of 145568000161 in words is "one hundred forty-five billion, five hundred sixty-eight million, one hundred sixty-one", and thus it is an aban number.