145501345152144 has 60 divisors (see below), whose sum is σ = 411233381079612. Its totient is φ = 48020245920000.

The previous prime is 145501345152133. The next prime is 145501345152173. The reversal of 145501345152144 is 441251543105541.

145501345152144 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 0 + 1 + 3 + 451 + 52 + 144 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100785536640000 + 44715808512144 = 10039200^2 + 6686988^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 145501345152144.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5002094407 + ... + 5002123494.

Almost surely, 2^{145501345152144} is an apocalyptic number.

It is an amenable number.

145501345152144 is an abundant number, since it is smaller than the sum of its proper divisors (265732035927468).

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

145501345152144 is a wasteful number, since it uses less digits than its factorization.

145501345152144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10004218016 (or 10004218007 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

Adding to 145501345152144 its reverse (441251543105541), we get a palindrome (586752888257685).

The spelling of 145501345152144 in words is "one hundred forty-five trillion, five hundred one billion, three hundred forty-five million, one hundred fifty-two thousand, one hundred forty-four".