145884816 has 240 divisors, whose sum is σ = 519966720. Its totient is φ = 37082880.

The previous prime is 145884811. The next prime is 145884839. The reversal of 145884816 is 618488541.

145884816 is a `hidden beast` number, since 14 + 588 + 48 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (145884811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 654081 + ... + 654303.

It is an arithmetic number, because the mean of its divisors is an integer number (2166528).

Almost surely, 2^145884816 is an apocalyptic number.

145884816 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 145884816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259983360).

145884816 is an abundant number, since it is smaller than the sum of its proper divisors (374081904).

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

145884816 is a wasteful number, since it uses less digits than its factorization.

145884816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 305 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The square root of 145884816 is about 12078.2786853094. The cubic root of 145884816 is about 526.4252321433.

The spelling of 145884816 in words is "one hundred forty-five million, eight hundred eighty-four thousand, eight hundred sixteen".