145720320 has 176 divisors, whose sum is σ = 477524160. Its totient is φ = 37912576.

The previous prime is 145720301. The next prime is 145720321. The reversal of 145720320 is 23027541.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (145720321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 813991 + ... + 814169.

Almost surely, 2^145720320 is an apocalyptic number.

145720320 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 145720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238762080).

145720320 is an abundant number, since it is smaller than the sum of its proper divisors (331803840).

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

145720320 is a wasteful number, since it uses less digits than its factorization.

145720320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 145720320 is about 12071.4671850608. The cubic root of 145720320 is about 526.2272965044.

Adding to 145720320 its reverse (23027541), we get a palindrome (168747861).

The spelling of 145720320 in words is "one hundred forty-five million, seven hundred twenty thousand, three hundred twenty".