145982016 has 84 divisors (see below), whose sum is σ = 440486800. Its totient is φ = 46096128.

The previous prime is 145981999. The next prime is 145982021. The reversal of 145982016 is 610289541.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4275 + ... + 17613.

Almost surely, 2^145982016 is an apocalyptic number.

145982016 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 145982016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220243400).

145982016 is an abundant number, since it is smaller than the sum of its proper divisors (294504784).

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

145982016 is a wasteful number, since it uses less digits than its factorization.

145982016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13376 (or 13363 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 145982016 is about 12082.3017674614. The cubic root of 145982016 is about 526.5421215587.

The spelling of 145982016 in words is "one hundred forty-five million, nine hundred eighty-two thousand, sixteen".