145985280 has 144 divisors (see below), whose sum is σ = 532944384. Its totient is φ = 33361920.

The previous prime is 145985249. The next prime is 145985317. The reversal of 145985280 is 82589541.

It is a happy number.

It is a super-3 number, since 3×145985280³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 24165 + ... + 29595.

Almost surely, 2^145985280 is an apocalyptic number.

145985280 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 145985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266472192).

145985280 is an abundant number, since it is smaller than the sum of its proper divisors (386959104).

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

145985280 is an equidigital number, since it uses as much as digits as its factorization.

145985280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5462 (or 5448 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 145985280 is about 12082.4368403067. The cubic root of 145985280 is about 526.5460458336.

The spelling of 145985280 in words is "one hundred forty-five million, nine hundred eighty-five thousand, two hundred eighty".