145631024 has 80 divisors (see below), whose sum is σ = 360096000. Its totient is φ = 55399680.

The previous prime is 145630987. The next prime is 145631033. The reversal of 145631024 is 420136541.

It is a junction number, because it is equal to n+sod(n) for n = 145630984 and 145631002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51602 + ... + 54350.

It is an arithmetic number, because the mean of its divisors is an integer number (4501200).

Almost surely, 2^145631024 is an apocalyptic number.

145631024 is a gapful number since it is divisible by the number (14) 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 145631024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180048000).

145631024 is an abundant number, since it is smaller than the sum of its proper divisors (214464976).

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

145631024 is a wasteful number, since it uses less digits than its factorization.

145631024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2818 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 145631024 is about 12067.7679792081. The cubic root of 145631024 is about 526.1197855449.

Adding to 145631024 its reverse (420136541), we get a palindrome (565767565).

The spelling of 145631024 in words is "one hundred forty-five million, six hundred thirty-one thousand, twenty-four".