145868320 has 96 divisors (see below), whose sum is σ = 390761280. Its totient is φ = 51010560.

The previous prime is 145868311. The next prime is 145868351. The reversal of 145868320 is 23868541.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 145868320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37675 + ... + 41365.

It is an arithmetic number, because the mean of its divisors is an integer number (4070430).

Almost surely, 2^145868320 is an apocalyptic number.

145868320 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 145868320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195380640).

145868320 is an abundant number, since it is smaller than the sum of its proper divisors (244892960).

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

145868320 is a wasteful number, since it uses less digits than its factorization.

145868320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3738 (or 3730 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 145868320 is about 12077.5957872418. The cubic root of 145868320 is about 526.4053894614.

The spelling of 145868320 in words is "one hundred forty-five million, eight hundred sixty-eight thousand, three hundred twenty".