145001144460120 has 128 divisors (see below), whose sum is σ = 468824770713600. Its totient is φ = 35665196281344.

The previous prime is 145001144460119. The next prime is 145001144460143. The reversal of 145001144460120 is 21064441100541.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33634800 + ... + 37700159.

It is an arithmetic number, because the mean of its divisors is an integer number (3662693521200).

Almost surely, 2^{145001144460120} is an apocalyptic number.

145001144460120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145001144460120 is an abundant number, since it is smaller than the sum of its proper divisors (323823626253480).

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

145001144460120 is a wasteful number, since it uses less digits than its factorization.

145001144460120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71336289 (or 71336285 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

Adding to 145001144460120 its reverse (21064441100541), we get a palindrome (166065585560661).

The spelling of 145001144460120 in words is "one hundred forty-five trillion, one billion, one hundred forty-four million, four hundred sixty thousand, one hundred twenty".