145153005214401 has 16 divisors (see below), whose sum is σ = 215046120889600. Its totient is φ = 96766585885584.

The previous prime is 145153005214387. The next prime is 145153005214403. The reversal of 145153005214401 is 104412500351541.

145153005214401 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 5 + 30 + 0 + 5 + 214 + 401 = 666.

It is not a de Polignac number, because 145153005214401 - 2¹⁵ = 145153005181633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145153005214403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56618746 + ... + 59126883.

It is an arithmetic number, because the mean of its divisors is an integer number (13440382555600).

Almost surely, 2^{145153005214401} is an apocalyptic number.

It is an amenable number.

145153005214401 is a deficient number, since it is larger than the sum of its proper divisors (69893115675199).

145153005214401 is a wasteful number, since it uses less digits than its factorization.

145153005214401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115792085 (or 115792079 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 145153005214401 its reverse (104412500351541), we get a palindrome (249565505565942).

The spelling of 145153005214401 in words is "one hundred forty-five trillion, one hundred fifty-three billion, five million, two hundred fourteen thousand, four hundred one".