145980564408 has 288 divisors, whose sum is σ = 487620207360. Its totient is φ = 39202652160.

The previous prime is 145980564371. The next prime is 145980564437. The reversal of 145980564408 is 804465089541.

145980564408 is a `hidden beast` number, since 1 + 4 + 598 + 0 + 5 + 6 + 4 + 40 + 8 = 666.

145980564408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69151273 + ... + 69153383.

It is an arithmetic number, because the mean of its divisors is an integer number (1693125720).

Almost surely, 2^145980564408 is an apocalyptic number.

145980564408 is a gapful number since it is divisible by the number (18) 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 145980564408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243810103680).

145980564408 is an abundant number, since it is smaller than the sum of its proper divisors (341639642952).

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

145980564408 is a wasteful number, since it uses less digits than its factorization.

145980564408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 145980564408 in words is "one hundred forty-five billion, nine hundred eighty million, five hundred sixty-four thousand, four hundred eight".