147084768 has 192 divisors, whose sum is σ = 455051520. Its totient is φ = 46158336.

The previous prime is 147084737. The next prime is 147084787. The reversal of 147084768 is 867480741.

It is a super-2 number, since 2×147084768² = 43267857955227648, 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 31 ways as a sum of consecutive naturals, for example, 1374571 + ... + 1374677.

It is an arithmetic number, because the mean of its divisors is an integer number (2370060).

Almost surely, 2^147084768 is an apocalyptic number.

147084768 is a gapful number since it is divisible by the number (18) 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 147084768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227525760).

147084768 is an abundant number, since it is smaller than the sum of its proper divisors (307966752).

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

147084768 is a wasteful number, since it uses less digits than its factorization.

147084768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 147084768 is about 12127.8509225666. The cubic root of 147084768 is about 527.8646347204.

The spelling of 147084768 in words is "one hundred forty-seven million, eighty-four thousand, seven hundred sixty-eight".