145018813952 has 80 divisors (see below), whose sum is σ = 303203450880. Its totient is φ = 69161613312.

The previous prime is 145018813937. The next prime is 145018814099. The reversal of 145018813952 is 259318810541.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 145018813897 and 145018813906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4210433 + ... + 4244735.

It is an arithmetic number, because the mean of its divisors is an integer number (3790043136).

Almost surely, 2^145018813952 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 145018813952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151601725440).

145018813952 is an abundant number, since it is smaller than the sum of its proper divisors (158184636928).

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

145018813952 is an equidigital number, since it uses as much as digits as its factorization.

145018813952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34703 (or 34687 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 47.

The spelling of 145018813952 in words is "one hundred forty-five billion, eighteen million, eight hundred thirteen thousand, nine hundred fifty-two".