145080320 has 240 divisors, whose sum is σ = 452971008. Its totient is φ = 43253760.

The previous prime is 145080319. The next prime is 145080373. The reversal of 145080320 is 23080541.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6307829 + ... + 6307851.

Almost surely, 2^145080320 is an apocalyptic number.

145080320 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 145080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226485504).

145080320 is an abundant number, since it is smaller than the sum of its proper divisors (307890688).

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

145080320 is an equidigital number, since it uses as much as digits as its factorization.

145080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 145080320 is about 12044.9292235364. The cubic root of 145080320 is about 525.4557735224.

The spelling of 145080320 in words is "one hundred forty-five million, eighty thousand, three hundred twenty".