145828584 has 96 divisors (see below), whose sum is σ = 456243840. Its totient is φ = 41587200.

The previous prime is 145828577. The next prime is 145828597. The reversal of 145828584 is 485828541.

145828584 is a `hidden beast` number, since 1 + 45 + 8 + 28 + 584 = 666.

It is a super-2 number, since 2×145828584² = 42531951822890112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8049 + ... + 18879.

It is an arithmetic number, because the mean of its divisors is an integer number (4752540).

Almost surely, 2^145828584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145828584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228121920).

145828584 is an abundant number, since it is smaller than the sum of its proper divisors (310415256).

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

145828584 is a wasteful number, since it uses less digits than its factorization.

145828584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10871 (or 10864 counting only the distinct ones).

The product of its digits is 409600, while the sum is 45.

The square root of 145828584 is about 12075.9506458084. The cubic root of 145828584 is about 526.3575857432.

The spelling of 145828584 in words is "one hundred forty-five million, eight hundred twenty-eight thousand, five hundred eighty-four".