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135213132 = 22359190979
BaseRepresentation
bin10000000111100…
…11000001001100
3100102102112112210
420003303001030
5234103310012
621230030420
73231202245
oct1003630114
9312375483
10135213132
116a36269a
1239348410
1322022592
1413d59ccc
15bd0d23c
hex80f304c

135213132 has 24 divisors (see below), whose sum is σ = 320846400. Its totient is φ = 44306896.

The previous prime is 135213107. The next prime is 135213173. The reversal of 135213132 is 231312531.

It is a junction number, because it is equal to n+sod(n) for n = 135213099 and 135213108.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94782 + ... + 96197.

It is an arithmetic number, because the mean of its divisors is an integer number (13368600).

Almost surely, 2135213132 is an apocalyptic number.

135213132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135213132 is an abundant number, since it is smaller than the sum of its proper divisors (185633268).

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

135213132 is a wasteful number, since it uses less digits than its factorization.

135213132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191045 (or 191043 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 135213132 is about 11628.1181624543. The cubic root of 135213132 is about 513.2626054613.

Adding to 135213132 its reverse (231312531), we get a palindrome (366525663).

It can be divided in two parts, 13521 and 3132, that added together give a triangular number (16653 = T182).

The spelling of 135213132 in words is "one hundred thirty-five million, two hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 59 118 177 236 354 708 190979 381958 572937 763916 1145874 2291748 11267761 22535522 33803283 45071044 67606566 135213132