145782288 has 80 divisors (see below), whose sum is σ = 440497600. Its totient is φ = 46033920.

The previous prime is 145782239. The next prime is 145782323. The reversal of 145782288 is 882287541.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 673 + ... + 17088.

It is an arithmetic number, because the mean of its divisors is an integer number (5506220).

Almost surely, 2^145782288 is an apocalyptic number.

145782288 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 145782288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220248800).

145782288 is an abundant number, since it is smaller than the sum of its proper divisors (294715312).

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

145782288 is a wasteful number, since it uses less digits than its factorization.

145782288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17797 (or 17785 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The square root of 145782288 is about 12074.0336259263. The cubic root of 145782288 is about 526.3018791748.

It can be divided in two parts, 145782 and 288, that added together give a triangular number (146070 = T₅₄₀).

The spelling of 145782288 in words is "one hundred forty-five million, seven hundred eighty-two thousand, two hundred eighty-eight".