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135453252 = 223117314057
BaseRepresentation
bin10000001001011…
…01101001000100
3100102212201221010
420010231221010
5234134001002
621235122220
73233222304
oct1004555104
9312781833
10135453252
116a507040
1239443370
13220a796c
1413dbd604
15bd5946c
hex812da44

135453252 has 48 divisors (see below), whose sum is σ = 349538112. Its totient is φ = 40481280.

The previous prime is 135453239. The next prime is 135453257. The reversal of 135453252 is 252354531.

135453252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (135453257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2608 + ... + 16664.

It is an arithmetic number, because the mean of its divisors is an integer number (7282044).

Almost surely, 2135453252 is an apocalyptic number.

135453252 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 135453252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174769056).

135453252 is an abundant number, since it is smaller than the sum of its proper divisors (214084860).

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

135453252 is a wasteful number, since it uses less digits than its factorization.

135453252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14148 (or 14146 counting only the distinct ones).

The product of its digits is 18000, while the sum is 30.

The square root of 135453252 is about 11638.4385550640. The cubic root of 135453252 is about 513.5662538119.

The spelling of 135453252 in words is "one hundred thirty-five million, four hundred fifty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 132 146 219 292 438 803 876 1606 2409 3212 4818 9636 14057 28114 42171 56228 84342 154627 168684 309254 463881 618508 927762 1026161 1855524 2052322 3078483 4104644 6156966 11287771 12313932 22575542 33863313 45151084 67726626 135453252