145123430144 has 216 divisors, whose sum is σ = 371019726000. Its totient is φ = 56017059840.

The previous prime is 145123430143. The next prime is 145123430147. The reversal of 145123430144 is 441034321541.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 145123430144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145123430143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15035432 + ... + 15045080.

Almost surely, 2^145123430144 is an apocalyptic number.

145123430144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145123430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185509863000).

145123430144 is an abundant number, since it is smaller than the sum of its proper divisors (225896295856).

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

145123430144 is a wasteful number, since it uses less digits than its factorization.

145123430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9799 (or 9778 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 145123430144 its reverse (441034321541), we get a palindrome (586157751685).

The spelling of 145123430144 in words is "one hundred forty-five billion, one hundred twenty-three million, four hundred thirty thousand, one hundred forty-four".