145456016064 has 112 divisors (see below), whose sum is σ = 394184136192. Its totient is φ = 47311875072.

The previous prime is 145456016023. The next prime is 145456016071. The reversal of 145456016064 is 460610654541.

It is a happy number.

145456016064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9098382 + ... + 9114354.

It is an arithmetic number, because the mean of its divisors is an integer number (3519501216).

Almost surely, 2^145456016064 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 145456016064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197092068096).

145456016064 is an abundant number, since it is smaller than the sum of its proper divisors (248728120128).

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

145456016064 is a wasteful number, since it uses less digits than its factorization.

145456016064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17134 (or 17124 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 145456016064 in words is "one hundred forty-five billion, four hundred fifty-six million, sixteen thousand, sixty-four".