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133848 = 233211132
BaseRepresentation
bin100000101011011000
320210121100
4200223120
513240343
62511400
71065141
oct405330
9223540
10133848
1191620
1265560
1348c00
1436ac8
15299d3

133848 has 72 divisors (see below), whose sum is σ = 428220. Its totient is φ = 37440.

The previous prime is 133843. The next prime is 133853. The reversal of 133848 is 848331.

It is an interprime number because it is at equal distance from previous prime (133843) and next prime (133853).

It is a tau number, because it is divible by the number of its divisors (72).

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 (133843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10290 + ... + 10302.

2133848 is an apocalyptic number.

133848 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 133848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214110).

133848 is an abundant number, since it is smaller than the sum of its proper divisors (294372).

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

133848 is a wasteful number, since it uses less digits than its factorization.

133848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 29 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 133848 is about 365.8524292662. The cubic root of 133848 is about 51.1529434184.

The spelling of 133848 in words is "one hundred thirty-three thousand, eight hundred forty-eight".