145528416 has 144 divisors (see below), whose sum is σ = 458535168. Its totient is φ = 43411200.

The previous prime is 145528379. The next prime is 145528417. The reversal of 145528416 is 614825541.

It is a happy number.

145528416 is a `hidden beast` number, since 14 + 552 + 84 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145528417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224605 + ... + 225251.

It is an arithmetic number, because the mean of its divisors is an integer number (3184272).

Almost surely, 2^145528416 is an apocalyptic number.

145528416 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 145528416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229267584).

145528416 is an abundant number, since it is smaller than the sum of its proper divisors (313006752).

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

145528416 is a wasteful number, since it uses less digits than its factorization.

145528416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 734 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 145528416 is about 12063.5159054067. The cubic root of 145528416 is about 525.9961928720.

The spelling of 145528416 in words is "one hundred forty-five million, five hundred twenty-eight thousand, four hundred sixteen".