145191339216 has 640 divisors, whose sum is σ = 550764748800. Its totient is φ = 35513856000.

The previous prime is 145191339203. The next prime is 145191339253. The reversal of 145191339216 is 612933191541.

145191339216 is a `hidden beast` number, since 1 + 4 + 519 + 1 + 33 + 92 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39549061 + ... + 39552731.

It is an arithmetic number, because the mean of its divisors is an integer number (860569920).

Almost surely, 2^145191339216 is an apocalyptic number.

145191339216 is a gapful number since it is divisible by the number (16) 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 145191339216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275382374400).

145191339216 is an abundant number, since it is smaller than the sum of its proper divisors (405573409584).

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

145191339216 is a wasteful number, since it uses less digits than its factorization.

145191339216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 3764 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The spelling of 145191339216 in words is "one hundred forty-five billion, one hundred ninety-one million, three hundred thirty-nine thousand, two hundred sixteen".