145784832 has 64 divisors (see below), whose sum is σ = 389015760. Its totient is φ = 48562176.

The previous prime is 145784801. The next prime is 145784857. The reversal of 145784832 is 238487541.

145784832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×145784832³ (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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 97563 + ... + 99045.

Almost surely, 2^145784832 is an apocalyptic number.

145784832 is a gapful number since it is divisible by the number (12) 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 145784832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194507880).

145784832 is an abundant number, since it is smaller than the sum of its proper divisors (243230928).

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

145784832 is an frugal number, since it uses more digits than its factorization.

145784832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1488 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 145784832 is about 12074.1389755129. The cubic root of 145784832 is about 526.3049405988.

The spelling of 145784832 in words is "one hundred forty-five million, seven hundred eighty-four thousand, eight hundred thirty-two".