145312288 has 36 divisors (see below), whose sum is σ = 314463870. Its totient is φ = 66049280.

The previous prime is 145312253. The next prime is 145312289. The reversal of 145312288 is 882213541.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 144288144 + 1024144 = 12012^2 + 1012^2 .

It is a super-2 number, since 2×145312288² = 42231322087589888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145312289) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14893 + ... + 22636.

Almost surely, 2^145312288 is an apocalyptic number.

It is an amenable number.

145312288 is an abundant number, since it is smaller than the sum of its proper divisors (169151582).

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

145312288 is a wasteful number, since it uses less digits than its factorization.

145312288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37561 (or 37542 counting only the distinct ones).

The product of its digits is 15360, while the sum is 34.

The square root of 145312288 is about 12054.5546578876. The cubic root of 145312288 is about 525.7356736955.

The spelling of 145312288 in words is "one hundred forty-five million, three hundred twelve thousand, two hundred eighty-eight".