145887159968 has 36 divisors (see below), whose sum is σ = 315699521130. Its totient is φ = 66312343680.

The previous prime is 145887159961. The next prime is 145887160021. The reversal of 145887159968 is 869951788541.

145887159968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 98890123024 + 46997036944 = 314468^2 + 216788^2 .

It is a super-2 number, since 2×145887159968² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145887159961) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 18834863 + ... + 18842606.

Almost surely, 2^145887159968 is an apocalyptic number.

It is an amenable number.

145887159968 is an abundant number, since it is smaller than the sum of its proper divisors (169812361162).

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

145887159968 is a wasteful number, since it uses less digits than its factorization.

145887159968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37677501 (or 37677482 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 71.

The spelling of 145887159968 in words is "one hundred forty-five billion, eight hundred eighty-seven million, one hundred fifty-nine thousand, nine hundred sixty-eight".