145638419584 has 32 divisors (see below), whose sum is σ = 331587475200. Its totient is φ = 62416465152.

The previous prime is 145638419573. The next prime is 145638419629. The reversal of 145638419584 is 485914836541.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 81270544 + ... + 81272335.

It is an arithmetic number, because the mean of its divisors is an integer number (10362108600).

Almost surely, 2^145638419584 is an apocalyptic number.

145638419584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

145638419584 is an abundant number, since it is smaller than the sum of its proper divisors (185949055616).

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

145638419584 is an equidigital number, since it uses as much as digits as its factorization.

145638419584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162542900 (or 162542888 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 58.

The spelling of 145638419584 in words is "one hundred forty-five billion, six hundred thirty-eight million, four hundred nineteen thousand, five hundred eighty-four".