145313505144 has 128 divisors (see below), whose sum is σ = 424532275200. Its totient is φ = 45990771840.

The previous prime is 145313505037. The next prime is 145313505173. The reversal of 145313505144 is 441505313541.

145313505144 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 1 + 3 + 505 + 144 = 666.

It is a super-2 number, since 2×145313505144² (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 = 145313505099 and 145313505108.

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, 150157 + ... + 559619.

It is an arithmetic number, because the mean of its divisors is an integer number (3316658400).

Almost surely, 2^145313505144 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 145313505144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212266137600).

145313505144 is an abundant number, since it is smaller than the sum of its proper divisors (279218770056).

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

145313505144 is a wasteful number, since it uses less digits than its factorization.

145313505144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409562 (or 409552 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 145313505144 its reverse (441505313541), we get a palindrome (586818818685).

The spelling of 145313505144 in words is "one hundred forty-five billion, three hundred thirteen million, five hundred five thousand, one hundred forty-four".