145881288 has 96 divisors (see below), whose sum is σ = 466152960. Its totient is φ = 40331520.

The previous prime is 145881271. The next prime is 145881289. The reversal of 145881288 is 882188541.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (145881289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10956 + ... + 20292.

It is an arithmetic number, because the mean of its divisors is an integer number (4855760).

Almost surely, 2^145881288 is an apocalyptic number.

145881288 is a gapful number since it is divisible by the number (18) 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 145881288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233076480).

145881288 is an abundant number, since it is smaller than the sum of its proper divisors (320271672).

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

145881288 is a wasteful number, since it uses less digits than its factorization.

145881288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9387 (or 9380 counting only the distinct ones).

The product of its digits is 163840, while the sum is 45.

The square root of 145881288 is about 12078.1326371257. The cubic root of 145881288 is about 526.4209885141.

It can be divided in two parts, 14588 and 1288, that added together give a square (15876 = 126²).

The spelling of 145881288 in words is "one hundred forty-five million, eight hundred eighty-one thousand, two hundred eighty-eight".