145793024 has 84 divisors (see below), whose sum is σ = 322712334. Its totient is φ = 65470464.

The previous prime is 145793017. The next prime is 145793029. The reversal of 145793024 is 420397541.

It can be written as a sum of positive squares in 3 ways, for example, as 143233024 + 2560000 = 11968^2 + 1600^2 .

It is not an unprimeable number, because it can be changed into a prime (145793029) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3940334 + ... + 3940370.

Almost surely, 2^145793024 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 145793024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161356167).

145793024 is an abundant number, since it is smaller than the sum of its proper divisors (176919310).

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

145793024 is an frugal number, since it uses more digits than its factorization.

145793024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 145793024 is about 12074.4782081877. The cubic root of 145793024 is about 526.3147985273.

The spelling of 145793024 in words is "one hundred forty-five million, seven hundred ninety-three thousand, twenty-four".