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133014132 = 223213212797
BaseRepresentation
bin1111110110110…
…10001001110100
3100021021211002100
413323122021310
5233022423012
621110542100
73203413206
oct773321164
9307254070
10133014132
11690a0539
1238667930
13217326b4
1413946776
15ba268dc
hex7eda274

133014132 has 36 divisors (see below), whose sum is σ = 336604996. Its totient is φ = 44288640.

The previous prime is 133014109. The next prime is 133014139. The reversal of 133014132 is 231410331.

It can be written as a sum of positive squares in 2 ways, for example, as 112275216 + 20738916 = 10596^2 + 4554^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133014139) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46158 + ... + 48954.

Almost surely, 2133014132 is an apocalyptic number.

133014132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133014132 is an abundant number, since it is smaller than the sum of its proper divisors (203590864).

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

133014132 is a wasteful number, since it uses less digits than its factorization.

133014132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4128 (or 4123 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 133014132 is about 11533.1752783004. The cubic root of 133014132 is about 510.4649508461.

Adding to 133014132 its reverse (231410331), we get a palindrome (364424463).

The spelling of 133014132 in words is "one hundred thirty-three million, fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1321 2642 2797 3963 5284 5594 7926 8391 11188 11889 15852 16782 23778 25173 33564 47556 50346 100692 3694837 7389674 11084511 14779348 22169022 33253533 44338044 66507066 133014132