145533312 has 192 divisors, whose sum is σ = 452166000. Its totient is φ = 44789760.

The previous prime is 145533301. The next prime is 145533317. The reversal of 145533312 is 213335541.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145533317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1335114 + ... + 1335222.

Almost surely, 2^145533312 is an apocalyptic number.

145533312 is a gapful number since it is divisible by the number (12) 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 145533312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226083000).

145533312 is an abundant number, since it is smaller than the sum of its proper divisors (306632688).

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

145533312 is a wasteful number, since it uses less digits than its factorization.

145533312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 194 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 145533312 is about 12063.7188296147. The cubic root of 145533312 is about 526.0020914874.

Adding to 145533312 its reverse (213335541), we get a palindrome (358868853).

The spelling of 145533312 in words is "one hundred forty-five million, five hundred thirty-three thousand, three hundred twelve".