145312 has 24 divisors (see below), whose sum is σ = 302400. Its totient is φ = 68544.

The previous prime is 145307. The next prime is 145349. The reversal of 145312 is 213541.

It is a super-2 number, since 2×145312² = 42231154688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

145312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 489 + ... + 727.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2¹⁴⁵³¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

145312 is an abundant number, since it is smaller than the sum of its proper divisors (157088).

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

145312 is a wasteful number, since it uses less digits than its factorization.

145312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

The product of its digits is 120, while the sum is 16.

The square root of 145312 is about 381.1981112230. The cubic root of 145312 is about 52.5735326370.

Adding to 145312 its reverse (213541), we get a palindrome (358853).

The spelling of 145312 in words is "one hundred forty-five thousand, three hundred twelve".