145647616 has 72 divisors (see below), whose sum is σ = 308918610. Its totient is φ = 68640768.

The previous prime is 145647587. The next prime is 145647617. The reversal of 145647616 is 616746541.

It can be written as a sum of positive squares in only one way, i.e., 83174400 + 62473216 = 9120^2 + 7904^2 .

It is not an unprimeable number, because it can be changed into a prime (145647617) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 739230 + ... + 739426.

Almost surely, 2^145647616 is an apocalyptic number.

145647616 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 145647616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154459305).

145647616 is an abundant number, since it is smaller than the sum of its proper divisors (163270994).

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

145647616 is an equidigital number, since it uses as much as digits as its factorization.

145647616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 218 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The square root of 145647616 is about 12068.4554106978. The cubic root of 145647616 is about 526.1397653718.

The spelling of 145647616 in words is "one hundred forty-five million, six hundred forty-seven thousand, six hundred sixteen".