147291984 has 120 divisors (see below), whose sum is σ = 481278720. Its totient is φ = 41174784.

The previous prime is 147291983. The next prime is 147292001. The reversal of 147291984 is 489192741.

It is a happy number.

147291984 is a `hidden beast` number, since 1 + 472 + 91 + 98 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147291983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45822 + ... + 48930.

It is an arithmetic number, because the mean of its divisors is an integer number (4010656).

Almost surely, 2^147291984 is an apocalyptic number.

147291984 is a gapful number since it is divisible by the number (14) 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 147291984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240639360).

147291984 is an abundant number, since it is smaller than the sum of its proper divisors (333986736).

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

147291984 is a wasteful number, since it uses less digits than its factorization.

147291984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177 (or 3168 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 147291984 is about 12136.3908968029. The cubic root of 147291984 is about 528.1124071971.

The spelling of 147291984 in words is "one hundred forty-seven million, two hundred ninety-one thousand, nine hundred eighty-four".