147456 has 45 divisors (see below), whose sum is σ = 425971. Its totient is φ = 49152.

The previous prime is 147451. The next prime is 147457. The reversal of 147456 is 654741.

147456 = T_{383} + T_{384}.

The square root of 147456 is 384.

It is a perfect power (a square), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)^{2} ⋅ (2!)^{8}.

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

Its product of digits (3360) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 4 and base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (147451) by changing a digit.

147456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 49151 + 49152 + 49153.

147456 is a Friedman number, since it can be written as 576*(4*1)^4, using all its digits and the basic arithmetic operations.

2^{147456} is an apocalyptic number.

147456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

147456 is the 384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147456

147456 is an abundant number, since it is smaller than the sum of its proper divisors (278515).

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

147456 is an frugal number, since it uses more digits than its factorization.

147456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 5 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The cubic root of 147456 is about 52.8308359823.

The spelling of 147456 in words is "one hundred forty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 16384 18432 24576 36864 49152 73728 147456

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