145985328 has 50 divisors (see below), whose sum is σ = 422527644. Its totient is φ = 48661344.

The previous prime is 145985317. The next prime is 145985339. The reversal of 145985328 is 823589541.

145985328 is a `hidden beast` number, since 1 + 4 + 598 + 53 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (145985317) and next prime (145985339).

It is a super-3 number, since 3×145985328³ (a number of 25 digits) contains 333 as substring.

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 9 ways as a sum of consecutive naturals, for example, 55026 + ... + 57617.

Almost surely, 2^145985328 is an apocalyptic number.

145985328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

145985328 is an abundant number, since it is smaller than the sum of its proper divisors (276542316).

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

145985328 is a wasteful number, since it uses less digits than its factorization.

145985328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112663 (or 112648 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 145985328 is about 12082.4388266608. The cubic root of 145985328 is about 526.5461035431.

The spelling of 145985328 in words is "one hundred forty-five million, nine hundred eighty-five thousand, three hundred twenty-eight".