147282496 has 63 divisors (see below), whose sum is σ = 307881147. Its totient is φ = 69903360.

The previous prime is 147282493. The next prime is 147282511. The reversal of 147282496 is 694282741.

The square root of 147282496 is 12136.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1742400 + 145540096 = 1320^2 + 12064^2 .

It is a Duffinian number.

Its product of digits (193536) is a multiple of the sum of its prime factors (168).

It is not an unprimeable number, because it can be changed into a prime (147282491) 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 8 ways as a sum of consecutive naturals, for example, 3592236 + ... + 3592276.

Almost surely, 2^147282496 is an apocalyptic number.

147282496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

147282496 is the 12136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147282496

147282496 is an abundant number, since it is smaller than the sum of its proper divisors (160598651).

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

147282496 is an frugal number, since it uses more digits than its factorization.

147282496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 80 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The cubic root of 147282496 is about 528.1010672768.

The spelling of 147282496 in words is "one hundred forty-seven million, two hundred eighty-two thousand, four hundred ninety-six".