145983816 has 64 divisors (see below), whose sum is σ = 442382400. Its totient is φ = 44236800.

The previous prime is 145983791. The next prime is 145983823. The reversal of 145983816 is 618389541.

145983816 is a `hidden beast` number, since 14 + 598 + 38 + 16 = 666.

It is a super-3 number, since 3×145983816³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28345 + ... + 33096.

It is an arithmetic number, because the mean of its divisors is an integer number (6912225).

Almost surely, 2^145983816 is an apocalyptic number.

It is an amenable number.

145983816 is an abundant number, since it is smaller than the sum of its proper divisors (296398584).

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

145983816 is a wasteful number, since it uses less digits than its factorization.

145983816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61467 (or 61457 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 145983816 is about 12082.3762563496. The cubic root of 145983816 is about 526.5442856881.

The spelling of 145983816 in words is "one hundred forty-five million, nine hundred eighty-three thousand, eight hundred sixteen".