147627648 has 96 divisors (see below), whose sum is σ = 485528160. Its totient is φ = 42177024.

The previous prime is 147627637. The next prime is 147627659. The reversal of 147627648 is 846726741.

147627648 is a `hidden beast` number, since 14 + 7 + 627 + 6 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (147627637) and next prime (147627659).

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

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

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 11 ways as a sum of consecutive naturals, for example, 1090 + ... + 17217.

It is an arithmetic number, because the mean of its divisors is an integer number (5057585).

Almost surely, 2^147627648 is an apocalyptic number.

147627648 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 147627648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242764080).

147627648 is an abundant number, since it is smaller than the sum of its proper divisors (337900512).

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

147627648 is a wasteful number, since it uses less digits than its factorization.

147627648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18334 (or 18319 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 147627648 is about 12150.2118500049. The cubic root of 147627648 is about 528.5132749824.

The spelling of 147627648 in words is "one hundred forty-seven million, six hundred twenty-seven thousand, six hundred forty-eight".