145133288448 has 176 divisors, whose sum is σ = 404218895616. Its totient is φ = 46209433600.

The previous prime is 145133288441. The next prime is 145133288477. The reversal of 145133288448 is 844882331541.

It is a self number, because there is not a number n which added to its sum of digits gives 145133288448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145133288441) 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, 90650848 + ... + 90652448.

Almost surely, 2^145133288448 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 145133288448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202109447808).

145133288448 is an abundant number, since it is smaller than the sum of its proper divisors (259085607168).

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

145133288448 is a wasteful number, since it uses less digits than its factorization.

145133288448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 2912 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 51.

The spelling of 145133288448 in words is "one hundred forty-five billion, one hundred thirty-three million, two hundred eighty-eight thousand, four hundred forty-eight".