147921984 has 168 divisors, whose sum is σ = 506150880. Its totient is φ = 42239232.

The previous prime is 147921979. The next prime is 147921989. The reversal of 147921984 is 489129741.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (147921979) and next prime (147921989).

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (147921989) 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, 83799 + ... + 85545.

Almost surely, 2^147921984 is an apocalyptic number.

147921984 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 147921984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253075440).

147921984 is an abundant number, since it is smaller than the sum of its proper divisors (358228896).

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

147921984 is a wasteful number, since it uses less digits than its factorization.

147921984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1759 counting only the distinct ones).

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

The square root of 147921984 is about 12162.3182000801. The cubic root of 147921984 is about 528.8642869499.

The spelling of 147921984 in words is "one hundred forty-seven million, nine hundred twenty-one thousand, nine hundred eighty-four".