145921824 has 120 divisors (see below), whose sum is σ = 451891440. Its totient is φ = 46065024.

The previous prime is 145921813. The next prime is 145921837. The reversal of 145921824 is 428129541.

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

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 19 ways as a sum of consecutive naturals, for example, 47767 + ... + 50729.

It is an arithmetic number, because the mean of its divisors is an integer number (3765762).

Almost surely, 2^145921824 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 145921824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225945720).

145921824 is an abundant number, since it is smaller than the sum of its proper divisors (305969616).

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

145921824 is a wasteful number, since it uses less digits than its factorization.

145921824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 2987 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 145921824 is about 12079.8105945416. The cubic root of 145921824 is about 526.4697428250.

The spelling of 145921824 in words is "one hundred forty-five million, nine hundred twenty-one thousand, eight hundred twenty-four".