145653312 has 224 divisors, whose sum is σ = 472561920. Its totient is φ = 38707200.

The previous prime is 145653289. The next prime is 145653317. The reversal of 145653312 is 213356541.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 145653312.

It is not an unprimeable number, because it can be changed into a prime (145653317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1442062 + ... + 1442162.

Almost surely, 2^145653312 is an apocalyptic number.

145653312 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 145653312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236280960).

145653312 is an abundant number, since it is smaller than the sum of its proper divisors (326908608).

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

145653312 is a wasteful number, since it uses less digits than its factorization.

145653312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 179 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 145653312 is about 12068.6913955076. The cubic root of 145653312 is about 526.1466240561.

The spelling of 145653312 in words is "one hundred forty-five million, six hundred fifty-three thousand, three hundred twelve".