147206016 has 96 divisors (see below), whose sum is σ = 431772120. Its totient is φ = 48122880.

The previous prime is 147205987. The next prime is 147206023. The reversal of 147206016 is 610602741.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×147206016² = 43339222293184512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 59851 + ... + 62261.

Almost surely, 2^147206016 is an apocalyptic number.

147206016 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 147206016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215886060).

147206016 is an abundant number, since it is smaller than the sum of its proper divisors (284566104).

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

147206016 is a wasteful number, since it uses less digits than its factorization.

147206016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 147206016 is about 12132.8486350074. The cubic root of 147206016 is about 528.0096416972.

Adding to 147206016 its reverse (610602741), we get a palindrome (757808757).

It can be divided in two parts, 14720 and 6016, that added together give a 4-th power (20736 = 12⁴).

The spelling of 147206016 in words is "one hundred forty-seven million, two hundred six thousand, sixteen".