145027660668 has 384 divisors, whose sum is σ = 408004853760. Its totient is φ = 39956716800.

The previous prime is 145027660639. The next prime is 145027660681. The reversal of 145027660668 is 866066720541.

145027660668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 145027660668.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 1141950021 + ... + 1141950147.

It is an arithmetic number, because the mean of its divisors is an integer number (1062512640).

Almost surely, 2^145027660668 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 145027660668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204002426880).

145027660668 is an abundant number, since it is smaller than the sum of its proper divisors (262977193092).

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

145027660668 is a wasteful number, since it uses less digits than its factorization.

145027660668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 145027660668 in words is "one hundred forty-five billion, twenty-seven million, six hundred sixty thousand, six hundred sixty-eight".