145568000160 has 576 divisors, whose sum is σ = 556539984000. Its totient is φ = 34348769280.

The previous prime is 145568000153. The next prime is 145568000161. The reversal of 145568000160 is 61000865541.

145568000160 is a `hidden beast` number, since 14 + 556 + 80 + 0 + 0 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (145568000161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101866326 + ... + 101867754.

It is an arithmetic number, because the mean of its divisors is an integer number (966215250).

Almost surely, 2^145568000160 is an apocalyptic number.

145568000160 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 145568000160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278269992000).

145568000160 is an abundant number, since it is smaller than the sum of its proper divisors (410971983840).

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

145568000160 is a wasteful number, since it uses less digits than its factorization.

145568000160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 145568000160 in words is "one hundred forty-five billion, five hundred sixty-eight million, one hundred sixty", and thus it is an aban number.