145117312 has 64 divisors (see below), whose sum is σ = 297676800. Its totient is φ = 70447104.

The previous prime is 145117309. The next prime is 145117381. The reversal of 145117312 is 213711541.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1142593 + ... + 1142719.

It is an arithmetic number, because the mean of its divisors is an integer number (4651200).

Almost surely, 2^145117312 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 145117312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148838400).

145117312 is an abundant number, since it is smaller than the sum of its proper divisors (152559488).

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

145117312 is a wasteful number, since it uses less digits than its factorization.

145117312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 321 counting only the distinct ones).

The product of its digits is 840, while the sum is 25.

The square root of 145117312 is about 12046.4647096150. The cubic root of 145117312 is about 525.5004292648.

Adding to 145117312 its reverse (213711541), we get a palindrome (358828853).

The spelling of 145117312 in words is "one hundred forty-five million, one hundred seventeen thousand, three hundred twelve".