145589378112 has 504 divisors, whose sum is σ = 461667148800. Its totient is φ = 43737200640.

The previous prime is 145589378111. The next prime is 145589378141. The reversal of 145589378112 is 211873985541.

145589378112 is a `hidden beast` number, since 1 + 4 + 558 + 9 + 3 + 7 + 81 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (145589378111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1146372993 + ... + 1146373119.

Almost surely, 2^145589378112 is an apocalyptic number.

145589378112 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 145589378112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230833574400).

145589378112 is an abundant number, since it is smaller than the sum of its proper divisors (316077770688).

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

145589378112 is a wasteful number, since it uses less digits than its factorization.

145589378112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 291 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 54.

The spelling of 145589378112 in words is "one hundred forty-five billion, five hundred eighty-nine million, three hundred seventy-eight thousand, one hundred twelve".