145516320 has 144 divisors (see below), whose sum is σ = 500834880. Its totient is φ = 38472192.

The previous prime is 145516309. The next prime is 145516363. The reversal of 145516320 is 23615541.

145516320 is a `hidden beast` number, since 145 + 516 + 3 + 2 + 0 = 666.

145516320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199797 + ... + 200523.

It is an arithmetic number, because the mean of its divisors is an integer number (3478020).

Almost surely, 2^145516320 is an apocalyptic number.

145516320 is a gapful number since it is divisible by the number (10) 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 145516320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250417440).

145516320 is an abundant number, since it is smaller than the sum of its proper divisors (355318560).

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

145516320 is a wasteful number, since it uses less digits than its factorization.

145516320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 145516320 is about 12063.0145486110. The cubic root of 145516320 is about 525.9816192549.

The spelling of 145516320 in words is "one hundred forty-five million, five hundred sixteen thousand, three hundred twenty".