147242784 has 96 divisors (see below), whose sum is σ = 419973120. Its totient is φ = 44900352.

The previous prime is 147242783. The next prime is 147242791. The reversal of 147242784 is 487242741.

It is a happy number.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (147242783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158032 + ... + 158960.

It is an arithmetic number, because the mean of its divisors is an integer number (4374720).

Almost surely, 2^147242784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147242784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209986560).

147242784 is an abundant number, since it is smaller than the sum of its proper divisors (272730336).

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

147242784 is a wasteful number, since it uses less digits than its factorization.

147242784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1074 counting only the distinct ones).

The product of its digits is 100352, while the sum is 39.

The square root of 147242784 is about 12134.3637657687. The cubic root of 147242784 is about 528.0535987829.

The spelling of 147242784 in words is "one hundred forty-seven million, two hundred forty-two thousand, seven hundred eighty-four".