145765567541 has 24 divisors (see below), whose sum is σ = 160953301152. Its totient is φ = 130919432000.

The previous prime is 145765567513. The next prime is 145765567543.

145765567541 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 145765567541 - 2¹⁸ = 145765305397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145765567543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65866751 + ... + 65868963.

It is an arithmetic number, because the mean of its divisors is an integer number (6706387548).

Almost surely, 2^145765567541 is an apocalyptic number.

145765567541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145765567541 is a deficient number, since it is larger than the sum of its proper divisors (15187733611).

145765567541 is a wasteful number, since it uses less digits than its factorization.

145765567541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3013 (or 2912 counting only the distinct ones).

The product of its digits is 17640000, while the sum is 56.

The spelling of 145765567541 in words is "one hundred forty-five billion, seven hundred sixty-five million, five hundred sixty-seven thousand, five hundred forty-one".