145568280 has 256 divisors, whose sum is σ = 544320000. Its totient is φ = 30597120.

The previous prime is 145568279. The next prime is 145568299. The reversal of 145568280 is 82865541.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 291471 + ... + 291969.

It is an arithmetic number, because the mean of its divisors is an integer number (2126250).

Almost surely, 2^145568280 is an apocalyptic number.

145568280 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 145568280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160000).

145568280 is an abundant number, since it is smaller than the sum of its proper divisors (398751720).

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

145568280 is a wasteful number, since it uses less digits than its factorization.

145568280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 145568280 is about 12065.1680469026. The cubic root of 145568280 is about 526.0442164780.

The spelling of 145568280 in words is "one hundred forty-five million, five hundred sixty-eight thousand, two hundred eighty".