145853568 has 128 divisors (see below), whose sum is σ = 492048000. Its totient is φ = 41665536.

The previous prime is 145853563. The next prime is 145853581. The reversal of 145853568 is 865358541.

145853568 is a `hidden beast` number, since 1 + 4 + 5 + 85 + 3 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (145853563) 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, 21178 + ... + 27206.

It is an arithmetic number, because the mean of its divisors is an integer number (3844125).

Almost surely, 2^145853568 is an apocalyptic number.

145853568 is a gapful number since it is divisible by the number (18) 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 145853568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246024000).

145853568 is an abundant number, since it is smaller than the sum of its proper divisors (346194432).

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

145853568 is an equidigital number, since it uses as much as digits as its factorization.

145853568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6059 (or 6041 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 145853568 is about 12076.9850542261. The cubic root of 145853568 is about 526.3876433324.

The spelling of 145853568 in words is "one hundred forty-five million, eight hundred fifty-three thousand, five hundred sixty-eight".