145601985312 has 576 divisors, whose sum is σ = 499005561600. Its totient is φ = 40236134400.

The previous prime is 145601985301. The next prime is 145601985313. The reversal of 145601985312 is 213589106541.

It is a happy number.

145601985312 is a `hidden beast` number, since 1 + 4 + 5 + 601 + 9 + 8 + 5 + 31 + 2 = 666.

145601985312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (145601985313) 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 95 ways as a sum of consecutive naturals, for example, 439884987 + ... + 439885317.

It is an arithmetic number, because the mean of its divisors is an integer number (866329100).

Almost surely, 2^145601985312 is an apocalyptic number.

145601985312 is a gapful number since it is divisible by the number (12) 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 145601985312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249502780800).

145601985312 is an abundant number, since it is smaller than the sum of its proper divisors (353403576288).

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

145601985312 is a wasteful number, since it uses less digits than its factorization.

145601985312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 145601985312 in words is "one hundred forty-five billion, six hundred one million, nine hundred eighty-five thousand, three hundred twelve".