145556524512 has 288 divisors, whose sum is σ = 494186434560. Its totient is φ = 39734323200.

The previous prime is 145556524481. The next prime is 145556524537. The reversal of 145556524512 is 215425655541.

It is a happy number.

145556524512 is a `hidden beast` number, since 1 + 4 + 5 + 55 + 65 + 24 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74605137 + ... + 74607087.

It is an arithmetic number, because the mean of its divisors is an integer number (1715925120).

Almost surely, 2^145556524512 is an apocalyptic number.

145556524512 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 145556524512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247093217280).

145556524512 is an abundant number, since it is smaller than the sum of its proper divisors (348629910048).

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

145556524512 is a wasteful number, since it uses less digits than its factorization.

145556524512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3606 (or 3595 counting only the distinct ones).

The product of its digits is 1200000, while the sum is 45.

The spelling of 145556524512 in words is "one hundred forty-five billion, five hundred fifty-six million, five hundred twenty-four thousand, five hundred twelve".