145824140 has 144 divisors (see below), whose sum is σ = 401345280. Its totient is φ = 43232640.

The previous prime is 145824139. The next prime is 145824187. The reversal of 145824140 is 41428541.

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 47 ways as a sum of consecutive naturals, for example, 814571 + ... + 814749.

It is an arithmetic number, because the mean of its divisors is an integer number (2787120).

Almost surely, 2^145824140 is an apocalyptic number.

145824140 is a gapful number since it is divisible by the number (10) 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 145824140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200672640).

145824140 is an abundant number, since it is smaller than the sum of its proper divisors (255521140).

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

145824140 is a wasteful number, since it uses less digits than its factorization.

145824140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 145824140 is about 12075.7666423296. The cubic root of 145824140 is about 526.3522389248.

The spelling of 145824140 in words is "one hundred forty-five million, eight hundred twenty-four thousand, one hundred forty".