145014041304 has 192 divisors, whose sum is σ = 434655936000. Its totient is φ = 43309244160.

The previous prime is 145014041279. The next prime is 145014041323. The reversal of 145014041304 is 403140410541.

145014041304 is a `hidden beast` number, since 1 + 450 + 140 + 41 + 30 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41230554 + ... + 41234070.

It is an arithmetic number, because the mean of its divisors is an integer number (2263833000).

Almost surely, 2^145014041304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145014041304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217327968000).

145014041304 is an abundant number, since it is smaller than the sum of its proper divisors (289641894696).

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

145014041304 is a wasteful number, since it uses less digits than its factorization.

145014041304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4278 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 145014041304 its reverse (403140410541), we get a palindrome (548154451845).

The spelling of 145014041304 in words is "one hundred forty-five billion, fourteen million, forty-one thousand, three hundred four".