145415430144 has 336 divisors, whose sum is σ = 461353405968. Its totient is φ = 45609910272.

The previous prime is 145415430119. The next prime is 145415430187. The reversal of 145415430144 is 441034514541.

145415430144 is a `hidden beast` number, since 1 + 45 + 41 + 5 + 430 + 144 = 666.

It is a super-2 number, since 2×145415430144² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 145415430099 and 145415430108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33839004 + ... + 33843300.

It is an arithmetic number, because the mean of its divisors is an integer number (1373075613).

Almost surely, 2^145415430144 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 145415430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230676702984).

145415430144 is an abundant number, since it is smaller than the sum of its proper divisors (315937975824).

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

145415430144 is an frugal number, since it uses more digits than its factorization.

145415430144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4355 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 145415430144 its reverse (441034514541), we get a palindrome (586449944685).

The spelling of 145415430144 in words is "one hundred forty-five billion, four hundred fifteen million, four hundred thirty thousand, one hundred forty-four".