145385280 has 280 divisors, whose sum is σ = 531083520. Its totient is φ = 37739520.

The previous prime is 145385239. The next prime is 145385281. The reversal of 145385280 is 82583541.

It is a happy number.

It is a super-2 number, since 2×145385280² = 42273759281356800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145385281) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1840281 + ... + 1840359.

Almost surely, 2^145385280 is an apocalyptic number.

145385280 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 145385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265541760).

145385280 is an abundant number, since it is smaller than the sum of its proper divisors (385698240).

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

145385280 is an equidigital number, since it uses as much as digits as its factorization.

145385280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 145385280 is about 12057.5818471201. The cubic root of 145385280 is about 525.8236866119.

The spelling of 145385280 in words is "one hundred forty-five million, three hundred eighty-five thousand, two hundred eighty".