145112320 has 72 divisors (see below), whose sum is σ = 352577736. Its totient is φ = 57212928.

The previous prime is 145112309. The next prime is 145112321. The reversal of 145112320 is 23211541.

It can be written as a sum of positive squares in 4 ways, for example, as 2262016 + 142850304 = 1504^2 + 11952^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145112321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92664 + ... + 94216.

It is an arithmetic number, because the mean of its divisors is an integer number (4896913).

Almost surely, 2^145112320 is an apocalyptic number.

145112320 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 145112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176288868).

145112320 is an abundant number, since it is smaller than the sum of its proper divisors (207465416).

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

145112320 is an equidigital number, since it uses as much as digits as its factorization.

145112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 145112320 is about 12046.2575101149. The cubic root of 145112320 is about 525.4944035003.

Adding to 145112320 its reverse (23211541), we get a palindrome (168323861).

The spelling of 145112320 in words is "one hundred forty-five million, one hundred twelve thousand, three hundred twenty".