145053216 has 288 divisors, whose sum is σ = 533385216. Its totient is φ = 36288000.

The previous prime is 145053193. The next prime is 145053229. The reversal of 145053216 is 612350541.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 145053216.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 687351 + ... + 687561.

It is an arithmetic number, because the mean of its divisors is an integer number (1852032).

Almost surely, 2^145053216 is an apocalyptic number.

145053216 is a gapful number since it is divisible by the number (16) 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 145053216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266692608).

145053216 is an abundant number, since it is smaller than the sum of its proper divisors (388332000).

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

145053216 is a wasteful number, since it uses less digits than its factorization.

145053216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 145053216 is about 12043.8040502160. The cubic root of 145053216 is about 525.4230494877.

The spelling of 145053216 in words is "one hundred forty-five million, fifty-three thousand, two hundred sixteen".