145521444125541 has 96 divisors (see below), whose sum is σ = 222660566561664. Its totient is φ = 84391296422400.

The previous prime is 145521444125509. The next prime is 145521444125597.

It is a happy number.

145521444125541 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 145521444125541 - 2⁵ = 145521444125509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145521444125441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8326445695 + ... + 8326463171.

It is an arithmetic number, because the mean of its divisors is an integer number (2319380901684).

Almost surely, 2^{145521444125541} is an apocalyptic number.

145521444125541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145521444125541 is a deficient number, since it is larger than the sum of its proper divisors (77139122436123).

145521444125541 is a wasteful number, since it uses less digits than its factorization.

145521444125541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27763 (or 27752 counting only the distinct ones).

The product of its digits is 2560000, while the sum is 48.

The spelling of 145521444125541 in words is "one hundred forty-five trillion, five hundred twenty-one billion, four hundred forty-four million, one hundred twenty-five thousand, five hundred forty-one".