Search a number
133812 = 2234759
BaseRepresentation
bin100000101010110100
320210120000
4200222310
513240222
62511300
71065060
oct405264
9223500
10133812
1191598
1265530
1348ba3
1436aa0
15299ac
hex20ab4

133812 has 60 divisors (see below), whose sum is σ = 406560. Its totient is φ = 37584.

The previous prime is 133811. The next prime is 133813. The reversal of 133812 is 218331.

It is an interprime number because it is at equal distance from previous prime (133811) and next prime (133813).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 15.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133811) 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 19 ways as a sum of consecutive naturals, for example, 2239 + ... + 2297.

It is an arithmetic number, because the mean of its divisors is an integer number (6776).

2133812 is an apocalyptic number.

133812 is a gapful number since it is divisible by the number (12) 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 133812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203280).

133812 is an abundant number, since it is smaller than the sum of its proper divisors (272748).

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

133812 is a wasteful number, since it uses less digits than its factorization.

133812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 71 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 133812 is about 365.8032257922. The cubic root of 133812 is about 51.1483569445.

Adding to 133812 its product of digits (144), we get a square (133956 = 3662).

It can be divided in two parts, 13381 and 2, that multiplied together give a palindrome (26762).

The spelling of 133812 in words is "one hundred thirty-three thousand, eight hundred twelve".